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ART001063604
oai_dc
Oscillatory Behavior of Linear Neutral Delay Dynamic Equations on Time Scales
Oscillatory Behavior of Linear Neutral Delay Dynamic Equations on Time Scales
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Samir H. Saker(Mansoura University)" ]
By employing the Riccati transformation technique some new oscillation criteria for the second-order neutral delay dynamic equation(y(t) + r(t)y(τ(t))) + p(t)y(δ(t)) = 0,on a time scale T are established. Our results as a special case whenT = R and T = N improve some well known oscillation criteria for second order neutral delay differential an difference equations, and when T = qN, i.e., for second-order-q-neutral difference equations our results are essentially new and can be applied on different types of time scales. Some examples are considered to illustrate the main results.
수학
null
kci_detailed_000041.xml
ART001063607
oai_dc
Every Operator Almost Commutes with a Compact Operator
Every Operator Almost Commutes with a Compact Operator
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "정일봉(경북대학교); 고응일(이화여자대학교); Carl Pearcy(Texas A&M University)" ]
In this note we set forth three possible definitions of the property of “almost commuting with a compact operator” and discuss an old result of W. Arveson that says that every operator on Hilbert space has the weakest of the three properties. Finally, we discuss some recent progress on the hyperinvariant subspace problem (see the bibliography),and relate it to the concept of almost commuting with a compact operator.
수학
null
kci_detailed_000041.xml
ART001063613
oai_dc
Near λ-lattices
Near λ-lattices
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Ivan Chajda(Palack University Olomouc); M. Kolak(Palack University Olomouc)" ]
By a near λ-lattice is meant an upper λ-semilattice where is dened a partialbinary operation x∧y with respect to the induced order whenever x,y has a common lowerbound. Alternatively, a near λ-lattice can be described as an algebra with one ternary operation satisfying nine simple conditions. Hence, the class of near λ-lattices is a quasi-variety. A λ-semilattice A = (A;∨) is said to have sectional (antitone) involutions if foreach a ∈A there exists an (antitone) involution on [a,1], where 1 is the greatest element of A.If this antitone involution is a complementation, A is called an ortho λ-semilattice.We characterize these near λ-lattices by certain identities.
수학
null
kci_detailed_000041.xml
ART001063608
oai_dc
Weak Distributive n-Semilattices and n-Lattices
Weak Distributive n-Semilattices and n-Lattices
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "임선주(Sookmyung Women's University)" ]
We define weak distributive n-semilattices and n-lattices, using variants of the absorption law and those of the distributive law. From a weak distributive n-semilattice, we construct direct system of subalgebras which are weak distributive n-lattices and show that its direct limit is a reflection of the category wDn-SLatt of the weak distributive n-semilattices.
수학
null
kci_detailed_000041.xml
ART001063606
oai_dc
Stable Rank of Group C*-algebras of Some Disconnected Lie Groups
Stable Rank of Group C*-algebras of Some Disconnected Lie Groups
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Takahiro Sudo(University of the Ryukyus)" ]
We estimate the stable rank and connected stable rank of group C-algebras of certain disconnected solvable Lie groups such as semi-direct products of connected solvable Lie groups by the integers.
수학
null
kci_detailed_000041.xml
ART001063610
oai_dc
Lipschitz Estimates for Multilinear Singular Integral Operators on Hardy and Herz Type Spaces
Lipschitz Estimates for Multilinear Singular Integral Operators on Hardy and Herz Type Spaces
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Liu Lanzhe(Changsha University of Science and Technology)" ]
In this paper, the boundedness for some multilinear operators generated by singular integralv operators and Lipschitz functions on Hardy and Herz-type spaces are obtained.
수학
null
kci_detailed_000041.xml
ART001188977
oai_dc
Some Geometric Properties of Cesaro Sequence Space
Some Geometric Properties of Cesaro Sequence Space
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "W. Sanhan(Chiang Mai University); S. Suantai(Chiang Mai University)" ]
In this paper we define a modular on the Cesaro sequence space ces(p) and consider it equipped with the Luxemburg norm. We give some relationships between the modular and the Luxemburg norm on this space and show that the space ces(p) has property (H) but it is not rotund (R), where p = ( pk) is a bounded sequence of positive real number with pk 1 for all k 2 N.
수학
null
kci_detailed_000041.xml
ART000917037
oai_dc
Endomorphism Rings of Finite Length Injective Modules
Endomorphism Rings of Finite Length Injective Modules
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "R. N. Gupta(Panjab University); Dinesh Khurana(Panjab University)" ]
We prove the existence of a finite length injective right module whose endo-morphism ring is not right Artinian.
수학
null
kci_detailed_000041.xml
ART000917034
oai_dc
A Constructive View of Complete Regularity
A Constructive View of Complete Regularity
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Bernhard Banaschewski(McMaster University); Ales Pultr(Charles University)" ]
This note introduces the largest interpolative relation contained in the rather below(= well inside) relation in a frame as a constructive version of the familiar completely below (= really inside) relation. It establishes several constructively valid results for this whose analogues for the latter are only proved by means of the Axiom of Countable Dependent Choice.
수학
null
kci_detailed_000041.xml
ART000916996
oai_dc
Limit Distribution for Sums of the Reciprocals of Sine of Random Variables
Limit Distribution for Sums of the Reciprocals of Sine of Random Variables
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "K. Neammanee(Chulalongkorn University)" ]
Let (Xn ) be a sequence of independent continuous random variables such thats in Xn 6= 0 for every n. In this paper, we give conditions that the sequence of distribution functions of the reciprocals of sinXn weakly converges to a limit.
수학
null
kci_detailed_000041.xml
ART000917033
oai_dc
Ricci Tensor in 3-dimensional Trans-Sasakian manifolds
Ricci Tensor in 3-dimensional Trans-Sasakian manifolds
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "U. C. De(University of Kalyani); Mukut Mani Tripathi(Lucknow University)" ]
In a 3-dimensional trans-Sasakian manifold, explicit formulae for Ricci operator, Ricci tensor and curvature tensor are obtained. In particular, expressions for Ricci tensor are obtained in a 3-dimensional trans-Sasakian manifold in cases of the manifold being η-Einstein or satisfying R (X;Y) S = 0.
수학
null
kci_detailed_000041.xml
ART001188976
oai_dc
Positive Interpolation on Aχ = y in CSL-algebra Alg L
Positive Interpolation on Aχ = y in CSL-algebra Alg L
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "강주호(대구대학교); Young Soo Jo(Keimyung University)" ]
Given vectors x and y in a Hilbert space, an interpolating operator is a bounded operator T such that Tx = y. An interpolating operator for n vectors satisfies the equation Txi = yi, for i = 1 ;2; ;n. In this article, we obtained the following : Let H be a Hilbert space and L be a commutative subspace lattice on H. Let x and y be vectors in H. Then the following statements are equivalent.(1) There exists an operator A in AlgL such that Ax = y,A is positive and every E in L reduces A.(2) sup.k. ni=1 iEiykk. ni=1 iEixk:n 2 . ;i 2 . and Ei 2 L.< 1 and. . mk=1 kEky;. mk=1 kEkx.0, for all m 2 . , all k 2 . and all Ek 2 L.
수학
null
kci_detailed_000041.xml
ART000917035
oai_dc
The Condition under Which a Pre-logic Becomes an Implication Algebra
The Condition under Which a Pre-logic Becomes an Implication Algebra
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Ivan Chajda(Palacky University Olomouc)" ]
We show that a pre-logic which is a generalization of propositional intuitionistic logic becomes an implication algebra if and only if it satisfies the quasi-commutativity.
수학
null
kci_detailed_000041.xml
ART000916995
oai_dc
A Note on Strongly Euclidean Semiring
A Note on Strongly Euclidean Semiring
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "P. Mukhopadhyay(RK Mission Residential College)" ]
Structure of ideals in an Euclidean semiring has been studied by Dale L. and Hanson D. L. [1] (1977). Mukhopadhyay in his paper [4] (1999) raised the question "Is every Euclidean semiring a principal k-ideal semiring ?" An answer to this question in the case of inversive semirings is provided in the present paper.
수학
null
kci_detailed_000041.xml
ART000916997
oai_dc
Some Applications of Certain Integral Operator
Some Applications of Certain Integral Operator
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Jin-Lin Liu(Yangzhou University)" ]
In this paper we introduce and study some new subclasses of starlike, convex, close-to-convex and quasi-convex functions defined by certain integral operator. Inclusion relations are established and integral operator of functions in these subclasses is discussed.
수학
null
kci_detailed_000041.xml
ART000917038
oai_dc
On Lorentzian Almost Paracontact Manifolds with a Structure of the Concircular Type
On Lorentzian Almost Paracontact Manifolds with a Structure of the Concircular Type
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Absos Ali Shaikh(University of North Bengal)" ]
This paper presents a study of Lorentzian almost paracontact manifolds with a structure of the concircular type.
수학
null
kci_detailed_000041.xml
ART000974163
oai_dc
Second Method of Lyapunov for Existence of Almost Periodic Solutions for Impulsive Integro-Differential Equations
Second Method of Lyapunov for Existence of Almost Periodic Solutions for Impulsive Integro-Differential Equations
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Gani Tr.Stamov(University of Bourgas)" ]
In the present paper sufficient conditions for the existence of almost periodic solutions of impulsive integro-differential equations are obtained. The investigations are carried out by means piecewise continuous functions which are generalizations of the classical Lyapunov functions and the comparison principle.
수학
null
kci_detailed_000041.xml
ART000974164
oai_dc
Oscillation Criteria for a Class of Parabolic Equations with Functional Arguments
Oscillation Criteria for a Class of Parabolic Equations with Functional Arguments
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Yutaka Shoukaku(Toyama National Collage); Kusuo Kobayashi(Toyama University); Norio Yoshida(Toyama University)" ]
Parabolic equations with functional arguments are studied, and sufficient conditions are obtained for the oscillation of solutions of nonlinear parabolic equations. Our approach is to reduce the multi-dimensional problem to a one-dimensional problem for sublinear functional differential inequalities.
수학
null
kci_detailed_000041.xml
ART000916998
oai_dc
Transnormal Functions on R^{n} and R^{n}_{p}
Transnormal Functions on R^{n} and R^{n}_{p}
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Kwang Sung Park(Keimyung University)" ]
In this paper, we study on transnormal systems on the Euclidean and semi-Euclidean spaces. We prove that there is a one-to-one correspondence between some transnormal functions on Rn and Rnp .
수학
null
kci_detailed_000041.xml
ART000917032
oai_dc
Some BQ-semigroups of Linear Transformations
Some BQ-semigroups of Linear Transformations
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Chaiwat Namnak(Naresuan University); Yupaporn Kemprasit(Chulalongkorn University)" ]
A BQ-semigroups is a semigroup whose sets of bi-ideals and quasi-ideals coincide. In this paper, some linear transformation semigroups on a vector space V over a division ring are characterized in terms of dimV when they are BQ-semigroup.
수학
null
kci_detailed_000041.xml
ART000917036
oai_dc
The Category of p-semisimple BCI-algebra
The Category of p-semisimple BCI-algebra
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "S .M. A.Zaidi(Aligarh Muslim University); Shabbir Khan(Aligarh Muslim University)" ]
In 1985, Tiande and Chang introduced the concept of p semisimple BCI-algebras. In this paper, we analyze properties of p semisimple BCI-algebras through categorical methods. We observe that the category of p semisimple BCI-algebras is a very nice category which is regular, normal, balanced, complete, abelian and equivalent to the category Ab of abelian groups.
수학
null
kci_detailed_000041.xml
ART000974063
oai_dc
On a Class of p-valent Analytic Functions with Complex Order
On a Class of p-valent Analytic Functions with Complex Order
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Jagannath Patel(Utkal University); Akshaya KumarMohanty(V. N. College)" ]
In the present paper, the authors introduce a general class Rbp;t(A;B; )of p-valent analytic functions in the open unit disk. A sufficient condition, coefficient inequalities, distortion theorems and Hadamard product (or convolution) properties of functions belonging to this class are obtained.
수학
null
kci_detailed_000041.xml
ART000974165
oai_dc
A Note on the Confidence Region for the Bivariate Co-ordinate-wise Quantiles for Bivariate Data
A Note on the Confidence Region for the Bivariate Co-ordinate-wise Quantiles for Bivariate Data
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "H. M. Barakat(Zagazig University); M. A. El-Shandidy(Alexandria University)" ]
In this paper we established a family of nonparametric recurrence relations satisfied by the confidence coefficient of the confidence region for the bivariate co-ordinate-wise quantiles for bivariate data.
수학
null
kci_detailed_000041.xml
ART000973069
oai_dc
On θ-Semigeneralized Closed Sets in Topology
On θ-Semigeneralized Closed Sets in Topology
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Miguel Caldas(Universidade Federal Fluminense); Saeid Jafari(Roskilde University)" ]
Levine [17] introduced and investigated the notion of generalized closed set. It is the object of this paper to offer a new notion of generalized closed set called -semigeneralized closed set and study its fundamental properties.
수학
null
kci_detailed_000041.xml
ART000917099
oai_dc
A Generalization of Continuous Modules and Their Application to QF-rings
A Generalization of Continuous Modules and Their Application to QF-rings
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Somyot Plubtieng(Naresuan University)" ]
A ring R is called quasi-Frobenius, briey QF, if R is right or left artinian and right or left self-injective. In this note we study the new class of modules which generalize the concept of continuous (quasi-continuous) modules, that is, ec-continuous (ec-quasi-continuous) modules. We prove the decomposition theorems for ec-quasi-continuous modules, and we also give a sufficient condition for ec-continuous to be continuous. Moreover, we give a characterization of QF-rings with the injectivity condition replaced by ec-continuity.
수학
null
kci_detailed_000041.xml
ART000916992
oai_dc
On One-point Connectifications of Spaces
On One-point Connectifications of Spaces
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Janusz J. Charatonik(University of Wroctaw)" ]
A connected Hausdorff space Y is called a one-point connectification of a space X if Y contains a copy of X as a dense subspace and Y nX has exactly one point. A generalized linear graph means a connected subset of a linear graph. In a previous paper the subspaces of generalized graphs which have a one-point connectification are characterized by some conditions. In this note relations between these conditions are analyzed if X is embedded in a space belonging to a wider class than one of generalized graphs.
수학
null
kci_detailed_000041.xml
ART000916989
oai_dc
Superconvergence of Biorthogonal Wavelet Differentiation Rules
Superconvergence of Biorthogonal Wavelet Differentiation Rules
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "권순걸(Sunchon University)" ]
In this paper, we derive the connection coefficients for computing wavelet expansion of the nth derivative f(n ) of a sufficiently smooth function f in terms of the expansion of f, using biorthogonal wavelet bases. The same coefficients also provide finite difference rules for f(n ). Both of these rules provide unexpected high orders of accuracy(superconvergence).
수학
null
kci_detailed_000041.xml
ART000916988
oai_dc
Some Further Results on Meromorphic Functions that Share Two Sets
Some Further Results on Meromorphic Functions that Share Two Sets
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Wei-Chuan Lin(Shandong University); Hong-Xun Yi(Shandong University)" ]
This paper deals with the problem of uniqueness of meromorphic functions that share two sets, and obtain one set S with n( 8) elements such that any two nonconstant meromorphic functions f and g satisfying Em )(S; f) = Em )(S; g),E(1 ; f) =E(1 ; g) and m 2;m+ n 11 must be identical.
수학
null
kci_detailed_000041.xml
ART000916994
oai_dc
Direct Sums of Extending Modules
Direct Sums of Extending Modules
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Liu Zhongkui(Northwest Normal University)" ]
Let M and N be left R-modules. N is called M -ep-injective if N is essentially M -injective and pseudoly M -injective. An example is given to show that M -ep-injectivityis a non-trivial generalization of M -injectivity. We show that any direct sum of relatively ep-injective extending left R-modules of finite length is special extending. It is also proved that the direct sum M = i2 I M i of left R-modules M i (i 2 I,jIj 2) is extending if and only if there exist i 6= j in I such that every closed submodule K of M with K \ M i e Kor K \ M j e K or K \ M i = K \ M j = 0 is a direct summand.
수학
null
kci_detailed_000041.xml
ART000917098
oai_dc
A Note on Harmonic Forms on a Contact Manifold
A Note on Harmonic Forms on a Contact Manifold
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Haruo Kitahara(Kanazawa University); Hong Kyung Pak(Kyungsan University)" ]
We study the harmonic theory on a contact manifold in terms of the canonical measure associated to the contact form.
수학
null
kci_detailed_000041.xml
ART000917100
oai_dc
On the Type Number of Six-dimensional Planar Hermitian Submanifolds of Cayley Algebra
On the Type Number of Six-dimensional Planar Hermitian Submanifolds of Cayley Algebra
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Mihail Banaru(Smolensk University)" ]
It is proved that the type number of a six-dimensional planar Hermitian submanifold of Cayley algebra is at most two.
수학
null
kci_detailed_000041.xml
ART000916990
oai_dc
On │N, Pn;δ│κ Summability Factors
On │N, Pn;δ│κ Summability Factors
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "H. S. Ozarslan(Erciyes University)" ]
In this paper a general theorem on j N;pn ; jk summability factors, which generalizes a theorem of Mazhar [6] on j N;pn jk summability factors, has been proved.
수학
null
kci_detailed_000041.xml
ART000916991
oai_dc
Certain cs-Images of Locally Separable Metric Spaces
Certain cs-Images of Locally Separable Metric Spaces
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Jinjin Li(Zhangzhou Teachers' College)" ]
In this paper, we describe the closed cs-images of locally separable metric spaces, and characterize some sequence-covering cs-images and compact-covering cs-images of locally separable metric spaces.
수학
null
kci_detailed_000041.xml
ART000916993
oai_dc
A Note on Parakahlerian Manifolds
A Note on Parakahlerian Manifolds
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Mihail Banaru(Smolensk University)" ]
The criteria for an arbitrary almost Hermitian manifold to belong to each of the classes R1,R2 and R3 (in A. Gray's notation) are established. Some examples of non-Kahlerian parakahlerian six-dimensional manifolds are given.
수학
null
kci_detailed_000041.xml
ART000973072
oai_dc
Chen's Basic Equalities for Submanifolds of Sasakian Space Form
Chen's Basic Equalities for Submanifolds of Sasakian Space Form
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Young-Mi Kim(Kyungpook University)" ]
We study n( 3) - dimensional submanifolds of Sasakian space which satisfying Chen's basic equalities and specially improve the Kim-Kim's result about the sub-manifold of a Sasakian space form satisfying Chen's basic equality about M .
수학
null
kci_detailed_000041.xml
ART000973071
oai_dc
Semi-invariant Submanifolds with L-flat Normal Connection in terms of the Lie Derivatives
Semi-invariant Submanifolds with L-flat Normal Connection in terms of the Lie Derivatives
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "U-Hang Ki(Kyungpook National University); Chunji Li(Yanbian University); Seong-Cheol Lee(Chosun University)" ]
We study a semi-invariant submanifold of codimention 3 with L-flat normal connection in a complex projective space, and classify the submanifold above satisfying L A = 0 or L S = 0, where A,S and L denote by the shape operator in the direction of the distinguished normal, the Ricci tensor of the submanifold and the operator of the Lie derivative with respect to the structure vector respectively.
수학
null
kci_detailed_000041.xml
ART000973068
oai_dc
Bounded Traveling Wave Solution of a Nonlinear Equation
Bounded Traveling Wave Solution of a Nonlinear Equation
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Jiang Tao(Yunnan University); Yang Zhiyan(Yunnan University); Liu Zhengrong(Yunnan University)" ]
Bifurcation method of dynamical systems is applied to investigate traveling waves of nonlinear equation[a(1 + bu)u ]ux + uxxx = 0with =a,= > 0. Parameter space is partitioned. Types of bounded traveling waves are shown, that is, the equation has three types of bounded traveling waves, solitary waves,periodic waves and domain wall waves. When integral constant is zero, explicit expressions of bounded traveling wave solutions are obtained.
수학
null
kci_detailed_000041.xml
ART000973848
oai_dc
Decompositions and the Complex Contact Structures of Sl(2,C)
Decompositions and the Complex Contact Structures of Sl(2,C)
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Brendan Foreman(John Carroll University)" ]
We discuss some of the algebraic and geometric aspects of Sl(2,C) using its 2-to-1 relationship with the Moebius transformations, the isometries of hyperbolic 3-space which preserve orientation. We also classify all of the 2-dimensional subspaces of sl(2,c) as the Lie algebra of the space of Moebius transformations.
수학
null
kci_detailed_000041.xml
ART000917096
oai_dc
RS-Compactness in L-fuzzy Topological Spaces
RS-Compactness in L-fuzzy Topological Spaces
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "M. E. EL-Shafei(Mansoura University); I. M. Hanafy(Suez Canal University); A. I. Aggour(EL-Azhar University)" ]
The concept of RS-compactness is introduced and studied in L-fts's. We give some characterizations of RS-compactness in terms of regular closed, semiopen and β-open L-fuzzy sets. We also characterize RS-compactness in the sense of convergent prefilterbasis and by means of finite intersection property. We investigate the image and the inverse image of RS-compact spaces under some types of functions.
수학
null
kci_detailed_000041.xml
ART000917094
oai_dc
Bi-additive Maps and Commutativity in Rings
Bi-additive Maps and Commutativity in Rings
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Yong-Soo Jung(Chungnam National University)" ]
We study bi-additive maps with trace which is skew-commuting or skew-centralizing on rings with left identity; and we investigate commutativity in prime and semiprime rings admitting nonzero derivations d and δ such that [d(x),δ(y)] = 0 for all x, y in some nonzero one-sided ideal.
수학
null
kci_detailed_000041.xml
ART000917095
oai_dc
Uniqueness of Coexistence State of General Competition Model for Several Competing Species
Uniqueness of Coexistence State of General Competition Model for Several Competing Species
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Joon Hyuk Kang(Andrews Uiversity); Yun Myung Oh(Andrews Uiversity)" ]
We study the uniqueness of the positive solution for the generalized Lotka-Volterra competition model for several competing species. Some uniqueness results when self-reproduction, self-limitation, and competition rates are positive constants have been obtained over the last decade. We generalize these results when self-limitation and competition are mere general functions. The techniques used in this paper are upper-lower solutions, maximum principles and spectrum estimates. The arguments also rely on some detailed properties for the solution of logistic equatins.
수학
null
kci_detailed_000041.xml
ART000917088
oai_dc
The Method of Orbits for Real Lie Groups
The Method of Orbits for Real Lie Groups
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Jae-HyunYang(Inha University)" ]
In this paper, we outline a development of the theory of orbit method for representations of real Lie guoups. In particular, we study the orbit method for representations of the Heisenberg group and the Jacobi group.
수학
null
kci_detailed_000041.xml
ART000973847
oai_dc
General Filters and Strict Extensions in Pointfree Topology
General Filters and Strict Extensions in Pointfree Topology
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Bernhard Banaschewski(McMaster University); Sung Sa Hong(Sogang University)" ]
Based on the fact that general filters(bounded meet-semilattice homomorphisms) in a frame are more suitable than classical filters to study convergence in frames, we here extend earlier work by constructing the strict extension L of a frame L for a set X of general rather than classical filters in L, using for this the adjointness between bounded meet-semilattices and frames. We characterize L by the fact that there exists a unique homomorphism L->L for which each filter in X is a trace filter and obtain various completions by this construction. Further we provide conditions on X for L to be regular or zero-dimensional
수학
null
kci_detailed_000041.xml
ART000917092
oai_dc
Ribbon Braids
Ribbon Braids
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "GYO TAEK JIN(KAIST)" ]
The braids of n bands having ribbon intersections form a subgroup of the 2n-braid group B2n. Every 2n-plat presentation of the trivial link of n components is the boundary of such a braid.
수학
null
kci_detailed_000041.xml
ART000917089
oai_dc
The Cozero Part of a Biframe
The Cozero Part of a Biframe
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Phethiwe Matutu(University of Stellenbosch)" ]
We define a σ-biframe. The cozero part of a biframe, itself a σ-biframe, is defined and used to construct the compact regular, and regular Lindelof coreflections for biframes. Pseudocompactness for biframes is defined and characterised in terms of the cozero part of a biframe
수학
null
kci_detailed_000041.xml
ART000917091
oai_dc
Geometric Group Actions on Lens Spaces
Geometric Group Actions on Lens Spaces
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "John Kalliongis(Saint Louis University); Andy Miller(University of Oklahoma)" ]
A lens space L is the quotient space of an orthogonal free action of a cyclic group of order p on the 2-sphere where p>2. In this paper, we determine the isometry groups of these spaces, and show that the spaces can be categorized into six types according to the isomorphism class of the isometry group. Descriptions of these six groups are used to classify up to isomorphism the finite groups which act isometrically and effectiverly on a lens space. In addition, characterizations are given which describe when a finite group of isometries will preserve a Seifert fibering of the lens space, and when it will respect a genus one Heegaard decomposition.
수학
null
kci_detailed_000041.xml
ART000917097
oai_dc
On Bernardi's Integral Operators of Certain Classes of Functions
On Bernardi's Integral Operators of Certain Classes of Functions
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "R. Parvatham(University of Madras)" ]
수학
null
kci_detailed_000041.xml
ART000917090
oai_dc
Regular Hexagons from Similar Isosceles Triangles
Regular Hexagons from Similar Isosceles Triangles
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Zvonko Cerin()" ]
In this paper we shall improve Fukuta's methods of construction of regular hexagons using similar isosceles triangles instead of equilateral triangles. Our arguments are using complex numbers and are entirely algebraic.
수학
null
kci_detailed_000041.xml
ART000917093
oai_dc
A Note on Semi-Projective Modules
A Note on Semi-Projective Modules
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "H. Tansee(Naresuan University); S. Wongwal(Rajamangala Institute of Technology)" ]
Quasi-principally injective modules were studied in[?]. In this note we introduce the concept dual to quasi-principally injective modules. It is proved that these modules are equivalent to semi-projective modules.Several properties of the endomorphism ring of a semi-projective module are also obtained.
수학
null
kci_detailed_000041.xml
ART000973377
oai_dc
Some Generalizations of Beukers' Integrals
Some Generalizations of Beukers' Integrals
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Petros Hadjicostas(Texas Tech University)" ]
Beukers[3] used some double integrals to give an elegant proof to Apery's result, which states that ζ(3) is irrational. In this paper, based on his methods, we generalize Beukers' integrals (although we do not prove the irrationality of ζ(2n+1) for positive integer n). The evaluaton of these integrals is achieved by using an expansion of an infinite geometric series and differentiating under the integral sign.
수학
null
kci_detailed_000041.xml
ART000973378
oai_dc
Uniqueness of Linear Differential Polynomials that Share the Value 1 CM
Uniqueness of Linear Differential Polynomials that Share the Value 1 CM
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Jianping Wang(Shaoxing College of Arts and Sciences)" ]
In this paper we investigate the uniqueness of linear differential polynomials generated by meromorphic functions when they share the value 1 CM, and prove several results which improve some previous theorems given by H. X. Yi, Il Lahiri etc.
수학
null
kci_detailed_000041.xml
ART001188975
oai_dc
The Distribution of the Products of Powers of Generalized Dirichlet Components
The Distribution of the Products of Powers of Generalized Dirichlet Components
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Mridula Garg(University of Rajasthan); Vimal Katta(University of Rajasthan); Mahesh Kumar Gupta(M.S.J.Govt.College)" ]
In the present paper we establish a generalized Dirichlet distribution and obtain the distirbution of the products of powers of components of the generalized Dirichlet variable. Our findings unify and extend the results given earlier by Rogers and young[3], Rogers[2],Johnson and Kotz[7] and several others.
수학
null
kci_detailed_000041.xml
ART000964044
oai_dc
Properties of Topological Ideals and Banach Category Theorem
Properties of Topological Ideals and Banach Category Theorem
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "V. Renuka Devi(Govindammal Aditanar College); D. Sivaraj(Aditanar College); T. Tamizh Chelvam(M. S. University)" ]
An ideal space is I -resolvable if it has two disjoint I -dense subsets. We answer the question: If X is I -resolvable, then is X (I U N )-resolvable?, posed by Dontchev, Ganster and Rose. We give three generalizations of the well known Banach Category Theorem and deduce the Banach category Theorem as a corollary. Characterizations of completely codense ideals and I -locally closed sets are given and their properties are discussed.
수학
null
kci_detailed_000041.xml
ART001099323
oai_dc
Some Theorems Connecting the Unified Fractional Integral Operators and the Laplace Transform
Some Theorems Connecting the Unified Fractional Integral Operators and the Laplace Transform
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "R. C. Soni(M. N. Institute of Technology (India)); Deepika Singh(M. N. Institute of Technology (India))" ]
In the present paper, we obtain two Theorems connecting the unified fractional integral operators and the Laplace transform. Due to the presence of a general class of polynomials, the multivariable H -function and general functions and in the kernels of our operators, a large number of (new and known) interesting results involving simple polynomials (which are special cases of a general class of polynomials) and special functions involving one or more variables (which are particular cases of the multivariable H -function)obtained by several authors and hitherto lying scattered in the literature follow as special cases of our findings. Thus the Theorems obtained by Srivastava et al. [9] follow as simple special cases of our findings.
수학
null
kci_detailed_000041.xml
ART000964049
oai_dc
Some Nonlinear Alternatives in Banach Algebras with Applications Ⅱ
Some Nonlinear Alternatives in Banach Algebras with Applications Ⅱ
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "B. C. Dhage(Gurukul Colony)" ]
In this paper a nonlinear alternative of Leray-Schauder type is proved in a Banach algebra involving three operators and it is further applied to a functional nonlinear integral equation of mixed type - for proving the existence results in Banach algebras under generalized Lipschitz and Caratheodory conditions
수학
null
kci_detailed_000041.xml
ART000964046
oai_dc
Hypersurfaces of the Contact Metric Manifold with a Nullity Condition and -constant Sectional Curvature
Hypersurfaces of the Contact Metric Manifold with a Nullity Condition and -constant Sectional Curvature
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Calin Agut(University of Oradea)" ]
The paper shows that a hypersurface with constant curvature with the condition hD D, of a contact metric manifold with a nullity condition and '-constant sectional curvature, has the curvature equals to k and = 0.
수학
null
kci_detailed_000041.xml
ART001017728
oai_dc
Modular Transformations for Ramanujan's Tenth Order Mock Theta Functions
Modular Transformations for Ramanujan's Tenth Order Mock Theta Functions
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Bhaskar Srivastava(Lucknow University)" ]
In this paper we obtain the transformations of the Ramanujan’s tenth order mock theta functions under the modular group generators ! +1 and ! -1/ where q = eit .
수학
null
kci_detailed_000041.xml
ART001099326
oai_dc
On Prime Near-rings with Generalized -derivations
On Prime Near-rings with Generalized -derivations
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Oznur Goelbasi(Cumhuriyet University)" ]
Let N be a prime left near-ring with multiplicative center Z and f be a generalized (;)-derivation associated with d. We prove commutativity theorems in prime near-rings with generalized (;)-derivation.
수학
null
kci_detailed_000041.xml
ART000964041
oai_dc
Generalized Transformation Semigroups Whose Sets of Quasi-ideals and Bi-ideals Coincide
Generalized Transformation Semigroups Whose Sets of Quasi-ideals and Bi-ideals Coincide
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Ronnason Chinram(Prince of Songkla University)" ]
Let BQ be the class of all semigroups whose bi-ideals are quasi-ideals. It is known that regular semigroups, right [left] simple semigroups and right [left] 0-simple semigroups belong to BQ . Every zero semigroup is clearly a member of this class. In this paper, we characterize when generalized full transformation semigroups and generalized Baer-Levi semigroups are in BQ in terms of the cardinalities of sets.
수학
null
kci_detailed_000041.xml
ART000964047
oai_dc
Truncated Complex Moment Problem with Data in a Circle
Truncated Complex Moment Problem with Data in a Circle
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Sang Hun Lee(Kyungpook National University); Jung Hui Sim(Kyungpook National University)" ]
Let f ij g (0 i + j 2n) be a collection of complex numbers with 00 > 0 and ji = ij : The truncated complex moment problem for entails finding a positive Borel measure supported in the complex plane . such that ij =.zizj d(z)(0 i+ j 2n):We solve this truncated moment problem with data in a circle and discuss the behavior of data in an extended moment matrix.
수학
null
kci_detailed_000041.xml
ART001099327
oai_dc
Weighted Lp Estimates for a Rough Maximal Operator
Weighted Lp Estimates for a Rough Maximal Operator
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "H. M. Al-Qassem(Yarmouk University)" ]
This paper is concerned with studying the weighted Lp boundedness of a class of maximal operators related to homogeneous singular integrals with rough kernels.We obtain appropriate weighted Lp bounds for such maximal operators. Our results are extensions and improvements of the main theorems in [2] and [5].
수학
null
kci_detailed_000041.xml
ART001099328
oai_dc
Normal Interpolation on AX=Y in CSL-algebra AlgL
Normal Interpolation on AX=Y in CSL-algebra AlgL
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Young Soo Jo(Keimyung University); 강주호(대구대학교)" ]
Let L be a commutative subspace lattice on a Hilbert space H and X and Y be operators on H. Let M X =.n.i=1EiXfi :n 2 . ; fi 2 H and Ei 2 L.and M Y =.n.i=1EiY fi :n 2 . ; fi 2 H and Ei 2 L.: Then the following are equivalent. (i) There is an operator A in AlgL such that AX = Y, Ag = 0 for all g in M X?,AA = AA and every E in L reduces A. (ii) supfK (E;f) :n 2 . ;fi 2 H and Ei 2 Lg < 1 ,M Y M X and there is an operator T acting on H such that hEXf;Tgi = hEY f;Xgi and hETf;Tgi = hEY f;Y gi forall f; gin H and E in L, where K (E;f) = k. ni=1 EiY fik=k. ni=1 EiXfik.
수학
null
kci_detailed_000041.xml
ART001099325
oai_dc
A Length Function and Admissible Diagrams for Complex Reflection Groups G(m,1,n)
A Length Function and Admissible Diagrams for Complex Reflection Groups G(m,1,n)
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Himmet Can(Erciyes University)" ]
In this paper, we introduce a length function for elements of the imprimitive complex reflection group G(m;1;n) and study its properties. Furthermore, we show that every conjugacy class of G(m;1;n) can be represented by an admissible diagram. The corresponding results for Weyl groups are well known.
수학
null
kci_detailed_000041.xml
ART000964042
oai_dc
Vector Bundles on Curves with Many “spread" Sections
Vector Bundles on Curves with Many “spread" Sections
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "E. Ballico(University of Trento (Italy))" ]
Here we introduce and study vector bundles,E, on a smooth projective curve X having many “spread” sections and for which E! X has many “spread” sections. We show that no such bundle exists on X if the gonality of X is too low.
수학
null
kci_detailed_000041.xml
ART000964043
oai_dc
On op-idempotents
On op-idempotents
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Shuqin Wang(Shandong Economic University)" ]
In this paper, we introduce the concept of op-idempotents. It is shown that every exchange ring can be characterized by op-idempotents.
수학
null
kci_detailed_000041.xml
ART000964159
oai_dc
Erratum : A Geometrical Theory of Jacobi Forms of Higher Degree
Erratum : A Geometrical Theory of Jacobi Forms of Higher Degree
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Jae-Hyun Yang(Inha University)" ]
수학
null
kci_detailed_000041.xml
ART000964048
oai_dc
Ramanujan's Continued Fraction, a Generalization and Partitions
Ramanujan's Continued Fraction, a Generalization and Partitions
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Bhaskar Srivastava(Lucknow University)" ]
We generalize a continued fraction of Ramanujan by introducing a free parameter. We give the closed form for the continued fraction. We also consider the finite form giving n-th convergent using partition theory.
수학
null
kci_detailed_000041.xml
ART000964045
oai_dc
On Upper and Lower Z-supercontinuous Multifunctions
On Upper and Lower Z-supercontinuous Multifunctions
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Metin Akdag(Cumhuriyet University)" ]
In this paper, we define a multifunction F : X ; Y to be upper (lower)Z- supercontinuous if F+ (V) (F(V)) is z-open in X for every open set V ofY. We obtain some characterizations and several properties concerning upper (lower)Z-supercontinuous multifunctions.
수학
null
kci_detailed_000041.xml
ART001099324
oai_dc
Triangular Normed Fuzzification of (Implicative) Filters in Lattice Implication Algebras
Triangular Normed Fuzzification of (Implicative) Filters in Lattice Implication Algebras
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Leroy B. Beasley(Utah State University); 천기상(대림대학교); Young-Bae Jun(Gyeongsang National University); Seok-Zun Song(Cheju National University)" ]
We obtain characterizations of T-fuzzy (implicative) filters and some properties of T-product of fuzzy (implicative) filters in lattice implication algebras. We also establish the extension property for T-fuzzy implicative filters.
수학
null
kci_detailed_000041.xml
ART001012773
oai_dc
Negative Definite Functions on Hypercomplex Systems
Negative Definite Functions on Hypercomplex Systems
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Ahmed M. Zabel(Al-Azhar University); Buthinah A. Bin Dehaish(Girl's College of Education)" ]
We present a concept of negative definite functions on a commutative normal hypercomplex system L1(Q;m) with basis unity. Negative definite functions were studied in [5] and [4] for commutative groups and semigroups respectively. The definition of such functions on Q is a natural generalization of that defined on a commutative hypergroups.
수학
null
kci_detailed_000041.xml
ART001099581
oai_dc
Noor Iterations with Error for Non-Lipschitzian Mappings in Banach Spaces
Noor Iterations with Error for Non-Lipschitzian Mappings in Banach Spaces
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Somyot Plubtieng(Naresuan University); Rabian Wangkeeree(Naresuan University)" ]
Suppose C is a nonempty closed convex subset of a real uniformly convex Banach space X. Let T : C ! C be an asymptotically nonexpansive in the intermediate sense mapping. In this paper we introduced the three-step iterative sequence for such map with error members. Moreover, we prove that, if T is completely continuous then the our iterative sequence converges strongly to a fixed point of T.
수학
null
kci_detailed_000041.xml
ART001012771
oai_dc
General Linear Group over a Ring of Integers of Modulo k
General Linear Group over a Ring of Integers of Modulo k
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "한준철(부산대학교)" ]
Let m and k be any positive integers, let Zk the ring of integers of modulo k, let Gm(Zk) the group of all m by m nonsingular matrices over Zk and let φm(k) the order of Gm(Zk). In this paper, φm(k) can be computed by the following investigation: First, for any relatively prime positive integers s and t, Gm(Zst) is isomorphic to Gm(Zs)× Gm(Zt). Secondly, for any positive integer n and any prime p, φm(pn) = pm2·φm(pn−1) = p2m2 ·φm(pn−2) = ··· = p(n−1)m2 ·φm(p), and so φm(k) = φm(pn1 1 )·φm(pn2 2 )···φm(pns s ) for the prime factorization of k, k = pn1 1 ·pn2 2 ···pns s .
수학
null
kci_detailed_000041.xml
ART000988372
oai_dc
On Partitioning Ideals of Semirings
On Partitioning Ideals of Semirings
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Vishnu Gupta(University of Delhi); Jayprakash Ninu Chaudhari(M. J. College)" ]
We prove the following results: (1) Let R be a strongly euclidean semiring. Then an ideal A of Rn&pound;n is a partitioning ideal if and only if it is a subtractive ideal. (2) A monic ideal M of R[x], where R is a strongly euclidean semiring, is a partitioning ideal if and only if it is a subtractive ideal.
수학
null
kci_detailed_000041.xml
ART001012769
oai_dc
On Applications of Weyl Fractional q-integral Operator to Generalized Basic Hypergeometric Functions
On Applications of Weyl Fractional q-integral Operator to Generalized Basic Hypergeometric Functions
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Rajendra Kumar Yadav(Jai Narain Vyas University); Sunil Dutt Purohit(Jai Narain Vyas University)" ]
Applications of Weyl fractional q-integral operator to various generalized basic hypergeometric functions including the basic analogue of Fox’s H-function have been investigated in the present paper. Certain interesting special cases have also been deduced.
수학
null
kci_detailed_000041.xml
ART001012770
oai_dc
On Weakly Commutative Abundant Semigroups
On Weakly Commutative Abundant Semigroups
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Gao Zhenlin(University of Shanghai for Science and Technology); Zuo Heli(University of Shanghai for Science and Technology)" ]
(Left or Right) Weakly commutative semigroups are described. Relationships of weakly commutative semigroups and (l- or r-) Archimedean semigroups are discussed. The structure theorems of weakly commutative semigroups and weakly commutative abundant semigroups are shown.
수학
null
kci_detailed_000041.xml
ART000988575
oai_dc
On the Equivalence of Some Fixed Point Iterations
On the Equivalence of Some Fixed Point Iterations
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Murat zdemir(Atattk niversitesi); Sezgin Akbulut(Atattk niversitesi)" ]
In this paper, we have shown that the convergence of one-step, two-step and three-step iterations is equivalent, which are known as Mann, Ishikawa and Noor iteration procedures, for a special class of Lipschitzian operators defined in a closed, convex subset of an arbitrary Banach space.
수학
null
kci_detailed_000041.xml
ART001099583
oai_dc
Ideal Theory in Commutative A-semirings
Ideal Theory in Commutative A-semirings
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Paul J. Allen(University of Alabama); Joseph Neggers(University of Alabama); Hee Sik Kim(Hanyang University)" ]
In this paper, we investigate and characterize the class of A-semirings. A characterization of the Thierrin radical of a proper ideal of an A-semiring is given. Moreover,when P is a Q-ideal in the semiring R, it is shown that P is primary if and only if R=P is nilpotent.
수학
null
kci_detailed_000041.xml
ART001012774
oai_dc
Centroaffine Minimal Surfaces with ConstantCurvature Metric
Centroaffine Minimal Surfaces with ConstantCurvature Metric
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Atsushi Fujioka(Hitotsubashi University)" ]
We classify centroaffine minimal surfaces with constant curvature metric under some natural conditions on the cubic differentials.
수학
null
kci_detailed_000041.xml
ART000988373
oai_dc
Durrmyer Type Summation Integral Operators
Durrmyer Type Summation Integral Operators
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Niraj Kumar(Netaji Subhas Institute of Technology Sector 3)" ]
In the present paper, we give the applications of the optimum bound for Bernstein basis functions. It is noted that using the optimum bound the main results of Aniol and Taberska [Ann. Soc. Math. Pol. Seri, Commentat. Math., 30(1990), 9-17], [Approx. Theory and its Appl. 11:2(1995), 94-105] and V. Gupta [Soochow J. Math., 23(1)(1997) 115-118] can be improved which were not pointed out earlier.
수학
null
kci_detailed_000041.xml
ART001012768
oai_dc
Commutative Semigroups whose Proper Homomorphic Images are All of Smaller Cardinality
Commutative Semigroups whose Proper Homomorphic Images are All of Smaller Cardinality
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Ralph P. Tucci(Loyola University New Orleans)" ]
We characterize those commutative semigroups S such that every nonisomorphic homomorphic image of S has smaller cardinality than S. We also characterize commutative groups with the same property.
수학
null
kci_detailed_000041.xml
ART001099582
oai_dc
Oscillation Criteria for Certain Nonlinear Differential Equations with Damping
Oscillation Criteria for Certain Nonlinear Differential Equations with Damping
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Zhaowen Zheng(Qufu Normal University); Siming Zhu(Sun Yat-Sen University)" ]
Using the integral average method, we establish some oscillation criteria for the nonlinear differential equation with damped term ကa(t)jx0(t)j¾¡1x0(t)0 + p(t)jx0(t)j¾¡1x0(t) + q(t)f(x(t)) = 0; ¾ > 1; where the functions a; p and q are real-valued continuous functions defined on [t0;1) with a(t) > 0, f(x) 2 C1(R) and f0(u) jf(¾¡1)=¾(u)j ¸ k > 0 for u 6= 0.
수학
null
kci_detailed_000041.xml
ART001099536
oai_dc
On the Value Distribution of ff(k)
On the Value Distribution of ff(k)
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Jian-Ping Wang(Shaoxing College of Arts and Sciences)" ]
This paper proves the following results: Let f be a transcendental entire function, and let k(¸ 2) be a positive integer. If T(r; f) 6= N1)(r; 1=f)+S(r; f); then ff(k) assumes every finite nonzero value infinitely often. Also the case when f is a transcendental meromorphic function has been considered and some results are obtained.
수학
null
kci_detailed_000041.xml
ART001099537
oai_dc
The Semicontinuous Quasi-uniformity of a Frame
The Semicontinuous Quasi-uniformity of a Frame
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Maria Joo Ferreira(Universidade de Coimbra); Jorge Picado(Universidade de Coimbra)" ]
The semicontinuous quasi-uniformity is known to be one of the most important examples of transitive quasi-uniformities. The aim of this paper is to show that various facts in classical topology connected with the semicontinuous quasi-uniformity and semicontinuous real functions may be easily extended to pointfree topology via a construction introduced by the authors in a previous paper. Several consequences are derived.
수학
null
kci_detailed_000041.xml
ART001099584
oai_dc
Existence of Nonoscillatory Solution of Second Order Nonlinear Neutral Delay Equations
Existence of Nonoscillatory Solution of Second Order Nonlinear Neutral Delay Equations
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Lin Shi-Zhong(Hainan Normal University); Qu Ying(Centre Finance & Economic University); Yu Yuan-Hong(Chinese Academy of Sciences)" ]
In this paper, we study nonoscillatory solutions of a class of second order nonlinear neutral delay differential equations with positive and negative coefficients. Some sufficient conditions for existence of nonoscillatory solutions are obtained.
수학
null
kci_detailed_000041.xml
ART001099535
oai_dc
Permuting Tri-Derivations in Prime and Semi-Prime Gamma Rings
Permuting Tri-Derivations in Prime and Semi-Prime Gamma Rings
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Duran zden(Cumhuriyet University); Mehmet Ali ztrk(Cumhuriyet University); Young Bae Jun(Gyeongsang National University)" ]
We study permuting tri-derivations in ¡-rings and give an example.
수학
null
kci_detailed_000041.xml
ART000998291
oai_dc
On Almost Continuity
On Almost Continuity
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Erdal Ekici(Canakkale Onsekiz Mart University)" ]
A new class of functions is introduced in this paper. This class is calledalmost -precontinuity. This type of functions is seen to be strictly weaker than almostprecontinuity. By using -preopen sets, many characterizations and properties of the saidtype of functions are investigated.
수학
null
kci_detailed_000041.xml
ART001099486
oai_dc
Rank-preserver of Matrices over Chain Semiring
Rank-preserver of Matrices over Chain Semiring
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Seok-Zun Song(Cheju National University); 강경태(제주대학교)" ]
For a rank-1 matrixA, there is a factorization asA = abt, the product of twovectorsa and b. We characterize the linear operators that preserve rank and some equiv-alent condition of rank-1 matrices over a chain semiring. We also obtain a linear operatorT preserves the rank of rank-1 matrices if and only if it is a form (P;Q;B)-operator withappropriate permutation matrices P and Q, and a matrixB with all nonzero entries.
수학
null
kci_detailed_000041.xml
ART000998288
oai_dc
Simple Presentness in Modular Group Algebras over Highly-generated Rings
Simple Presentness in Modular Group Algebras over Highly-generated Rings
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Peter V. Danchev(Bulgaria)" ]
It is proved that ifG is a direct sum of countable abelianp-groups and Ris a special selected commutative unitary highly-generated ring of prime characteristicp,which ring is more general than the weakly perfect one, then the group of all normed unitsV(RG) modulo G, that isV(RG)=G, is a direct sum of countable groups as well. Thisstrengthens a result due to W. May, published in (Proc. Amer. Math. Soc., 1979), thattreats the same question but over a perfect ring.
수학
null
kci_detailed_000041.xml
ART000998290
oai_dc
On the Weighted -convergence of Grnwald Interpolatory Operators
On the Weighted -convergence of Grnwald Interpolatory Operators
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Jian Li Wang(Shaoxing Arts and Science College); Song Ping Zhou(Zhejiang Sci-Tech University)" ]
The present paper investigates the weighted L1-convergence of Gr¨unwald in-terpolatory operators based on the zeros of the second Chebyshev polynomialsUn (x) =sin( n +1) sin . The approximation rate is sharp.
수학
null
kci_detailed_000041.xml
ART001099483
oai_dc
Weighted Boundedness for the Function of Marcinkiewicz
Weighted Boundedness for the Function of Marcinkiewicz
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Hussain M. Al-Qassem(Yarmouk University)" ]
In this paper, we prove a weighted norm inequality for the Marcinkiewiczintegral operatorM Ω;h when h satises a mild regularity condition and Ω belongs toL(logL)1l2(Sn 1); n 2. We also prove the weighted Lp boundedness for a class ofMarcinkiewicz integral operatorsMΩ;h; and M Ω;h;S related to the Littlewod-Paleyg-function and the area integralS, respectively.
수학
null
kci_detailed_000041.xml
ART000998079
oai_dc
On Direct Sums of Lifting Modules and Internal Exchange Property
On Direct Sums of Lifting Modules and Internal Exchange Property
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Wu Dejun(Lanzhou University of Technology)" ]
Let R be a ring with identity and let M = M 1 M 2 be an amply supplementedR-module. Then it is proved thatM i has (D1) and is M j -ojective fori 6= j,i = 1 ;2, ifand only if for any coclosed submodule X ofM , there existM01 M 1 and M02 M 2 suchthat M = X M01 M02.
수학
null
kci_detailed_000041.xml
ART001099531
oai_dc
Classes of Multivalent Functions Defined by Dziok-Srivastava Linear Operator and Multiplier Transformation
Classes of Multivalent Functions Defined by Dziok-Srivastava Linear Operator and Multiplier Transformation
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "S. Sivaprasad Kumar(Delhi College of Engineering); H. C. Taneja(Delhi College of Engineering); V. Ravichandran(Universiti Sains Malaysia)" ]
In this paper, the authors introduce new classes ofp-valent functions denedby Dziok-Srivastava linear operator and the multiplier transformation and study theirproperties by using certain rst order dierential subordination and superordination. Alsocertain inclusion relations are established and an integral transform is discussed.
수학
null
kci_detailed_000041.xml
ART001099484
oai_dc
The Inverse Laplace Transform of a Wide Class of Special Functions
The Inverse Laplace Transform of a Wide Class of Special Functions
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Ramesh Chandra Soni(M. N. Institute of Technology); Deepika Singh(M. N. Institute of Technology)" ]
The aim of the present work is to obtain the inverse Laplace transform of theproduct of the factors of the types.i=1.sli + i. i , a general class of polynomials andthe multivariable H -function. The polynomials and the functions involved in our mainformula as well as their arguments are quite general in nature. On account of the generalnature of our main ndings, the inverse Laplace transform of the product of a large varietyof polynomials and numerous simple special functions involving one or more variables canbe obtained as simple special cases of our main result. We give here exact references tothe results of seven research papers that follow as simple special cases of our main result.
수학
null
kci_detailed_000041.xml
ART001099533
oai_dc
The Invariant of Immersions under Isotwist Folding
The Invariant of Immersions under Isotwist Folding
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Mabrouk Salam El-Goul(Tanta University); Mohamed Esmail Basher(Suez-Canal University)" ]
In this paper, we will introduce the isotwist foldings of a manifold M intoitself.The limitsofthe isotwistfoldings ofa manifold areobtained. Also the relationsbe-tween conditional retractionand thistype ofthe foldings areachieved. Finally the variantand invariant ofthe immersion under this type offoldings are deduced.
수학
null
kci_detailed_000041.xml
ART000998289
oai_dc
Oscillation of Second Order Nonlinear Elliptic Differential Equations
Oscillation of Second Order Nonlinear Elliptic Differential Equations
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Zhiting Xu(South China Normal University)" ]
By using general means, some oscillation criteria for second order nonlinearelliptic dierential equation with dampingN.i;j =1Di[aij (x)Dj y] +N.i=1bi(x)Diy + p(x)f(y) = 0are obtained. These criteria are of a high degree of generality and extend the oscillationtheorems for second order linear ordinary dierential equations due to Kamenev, Philosand Wong.
수학
null
kci_detailed_000041.xml
ART001099482
oai_dc
Topological Imitations and Reni-Mecchia-Zimmermann's Conjecture
Topological Imitations and Reni-Mecchia-Zimmermann's Conjecture
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Akio Kawauchi(Osaka City University)" ]
M. Reni has shown that there are at most nine mutually inequivalent knotsin the 3-sphere whose 2-fold branched covering spaces are mutually homeomorphic, hyper-bolic 3-manifolds. By observing that theZ-homology sphere version of M. Reni’s resultstill holds, M. Mecchia and B. Zimmermann showed that there are exactly nine mutuallyinequivalent, knots in Z-homology 3-spheres whose 2-fold branched covering spaces aremutually homeomorphic, hyperbolic 3-manifolds, and conjectured that there exist exactlynine mutually inequivalent, knots in the true 3-sphere whose 2-fold branched coveringspaces are mutually homeomorphic, hyperbolic 3-manifolds. Their proof used an argu-ment of AID imitations published in 1992. The main result of this paper is to solve theirconjecture armatively by combining their argument with a theory of strongly AID imi-tations published in 1997.
수학
null
kci_detailed_000041.xml
ART001099534
oai_dc
On Strongly Nonlinear Implicit Complementarity Problems in Hilbert Spaces
On Strongly Nonlinear Implicit Complementarity Problems in Hilbert Spaces
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Yeol Je Cho(Gyeongsang National University); Nan-Jing Huang(Sichuan University)" ]
In this paper, we study a class of strongly nonlinear implicit complementarityproblems in the setting of Hilbert spacesH (not necessarily Hilbert lattices). By usingthe property of the projection and a suitable change of variables, we establish the equiva-lence between the strongly nonlinear implicit complementarity problem and the xed pointproblem in H. Moreover, we use this equivalence and the xed point theorem of Boyd and Wong toprove the existence and uniqueness of solutions for the strongly nonlinear implicit comple-mentarity problem in H .
수학
null
kci_detailed_000041.xml
ART000998287
oai_dc
Some New Hilbert Type Inequalities
Some New Hilbert Type Inequalities
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Shaban Raslan Salem(Al-Azhar University)" ]
In this paper, we obtain some inequalities similar to Hilbert type. Some newinequalities are also given.
수학
null
kci_detailed_000041.xml
ART001099485
oai_dc
Weighted Sharing of Two Sets
Weighted Sharing of Two Sets
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Indrajit Lahiri(University of Kalyani); Abhijit Banerjee(Kalyani Government Engineering College)" ]
Using the notion of weighted sharing of sets we improve two results of H. X.Yi on uniqueness of meromorphic functions.
수학
null
kci_detailed_000041.xml
ART001099532
oai_dc
New Sufficient Conditions for Strongly Starlikeness and Strongly Convex Functions
New Sufficient Conditions for Strongly Starlikeness and Strongly Convex Functions
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Basem Aref Frasin(Al al-Bayt University)" ]
The object of the present paper is to obtain new conditions for analytic func-tion to be strongly starlike and strongly convex function dened in the open unit disk.
수학
null
kci_detailed_000041.xml