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Kyungpook mathematical journal
Journal Basic Information
pISSN :
1225-6951
eISSN :
0454-8124
Journal DOI :
10.5666/KMJ
Frequency :
Others
Publisher:
Department of Mathematics, Kyungpook National University
Editor in Chief :
Sang-Dong Kim
Volume & Issues
Volume 51, Issue 4 - Dec 2011
Volume 51, Issue 3 - Sep 2011
Volume 51, Issue 2 - Jun 2011
Volume 51, Issue 1 - Mar 2011
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1
Normal Pairs of Going-down Rings
Dobbs, David Earl ; Shapiro, Jay Allen ;
Kyungpook mathematical journal, volume 51, issue 1, 2011, Pages 1~10
DOI : 10.5666/KMJ.2011.51.1.001
Abstract
Let (R, T) be a normal pair of commutative rings (i.e., R
T is a unita extension of commutative rings, not necessarily integral domains, such that S is integrally closed in T for each ring S such that R
S
T) such that the total quotient ring of R is a von Neumann regular ring. Let P be one of the following ring-theoretic properties: going-down ring, extensionally going-down (EGD) ring, locally divided ring. Then R has P if and only if T has P. An example shows that the "if" part of the assertion fails if P is taken to be the "divided domain" property.
2
BCK- lters Based on Fuzzy Points with Threshold
Jun, Young-Bae ; Song, Seok-Zun ; Roh, Eun-Hwan ;
Kyungpook mathematical journal, volume 51, issue 1, 2011, Pages 11~28
DOI : 10.5666/KMJ.2011.51.1.011
Abstract
The notions of (
,
)-fuzzy BCK-filters and fuzzy BCK-filters with thresholds are introduced, and several related properties are investigated. Characterizations of such notions are displayed, and implication-based fuzzy BCK-filters are discussed.
3
Some Global Estimates for the Jacobians of Quasiregular Mappings
Gao, Hongya ; Ren, Suna ; Sun, Lanxiang ;
Kyungpook mathematical journal, volume 51, issue 1, 2011, Pages 29~36
DOI : 10.5666/KMJ.2011.51.1.029
Abstract
Some global estimates for the Jacobians of quasiregular mappings f = (
,
,
,
) of the Sobolev class
(
,
) in
-domains and John domains are established.
4
Zero-divisors of Semigroup Modules
Nasehpour, Peyman ;
Kyungpook mathematical journal, volume 51, issue 1, 2011, Pages 37~42
DOI : 10.5666/KMJ.2011.51.1.037
Abstract
Let M be an R-module and S a semigroup. Our goal is to discuss zero-divisors of the semigroup module M[S]. Particularly we show that if M is an R-module and S a commutative, cancellative and torsion-free monoid, then the R[S]-module M[S] has few zero-divisors of size n if and only if the R-module M has few zero-divisors of size n and Property (A).
5
Uniqueness of Certain Non-Linear Differential Polynomials Sharing 1-Points
Banerjee, Abhijit ;
Kyungpook mathematical journal, volume 51, issue 1, 2011, Pages 43~58
DOI : 10.5666/KMJ.2011.51.1.043
Abstract
Using the notion of weighted sharing of values we study the uniqueness of meromorphic functions when certain non-linear differential polynomials share the same 1-points. Though the main concern of the paper is to improve a result of Fang [5] but as a consequence of the main result we improve and supplement some former results of Lahiri-Sarkar [16], Fang-Fang[6] et. al.
6
Degenerate Weakly (k
_{1}
, k
_{2}
)-Quasiregular Mappings
Gao, Hongya ; Tian, Dazeng ; Sun, Lanxiang ; Chu, Yuming ;
Kyungpook mathematical journal, volume 51, issue 1, 2011, Pages 59~68
DOI : 10.5666/KMJ.2011.51.1.059
Abstract
In this paper, we first give the definition of degenerate weakly (
,
-quasiregular mappings by using the technique of exterior power and exterior differential forms, and then, by using Hodge decomposition and Reverse H
lder inequality, we obtain the higher integrability result: for any
satisfying 0 <
< 1 there exists an integrable exponent
=
(n, l,
,
) > l, such that every degenerate weakly (
,
)-quasiregular mapping f
(
,
) belongs to
(
,
), that is, f is a degenerate (
,
)-quasiregular mapping in the usual sense.
7
On Partitioning and Subtractive Ideals of Ternary Semirings
Chaudhari, Jaiprakash Ninu ; Ingale, Kunal Julal ;
Kyungpook mathematical journal, volume 51, issue 1, 2011, Pages 69~76
DOI : 10.5666/KMJ.2011.51.1.069
Abstract
In this paper, we introduce a partitioning ideal of a ternary semiring which is useful to develop the quotient structure of ternary semiring. Indeed we prove : 1) The quotient ternary semiring S/
is essentially independent of choice of Q. 2) If f : S
S' is a maximal ternary semiring homomorphism, then S/ker
S'. 3) Every partitioning ideal is subtractive. 4) Let I be a Q-ideal of a ternary semiring S. Then A is a subtractive ideal of S with I
A if and only if A/
= {q + I : q
Q
A} is a subtractive idea of S/
.
8
Integral Operator of Analytic Functions with Positive Real Part
Frasin, Basem Aref ;
Kyungpook mathematical journal, volume 51, issue 1, 2011, Pages 77~85
DOI : 10.5666/KMJ.2011.51.1.077
Abstract
In this paper, we introduce the integral operator
(
,
,
;
,
,
)(z) analytic functions with positive real part. The radius of convexity of this integral operator when
= 1 is determined. In particular, we get the radius of starlikeness and convexity of the analytic functions with Re {f(z)/z} > 0 and Re {f'(z)} > 0. Furthermore, we derive sufficient condition for the integral operator
(
,
,
;
,
,
)(z) to be analytic and univalent in the open unit disc, which leads to univalency of the operators
dt and
.
9
A Voronovskaya Type Theorem on Modified Post-Widder Operators Preserving x
^{2}
Siddiqui, Mohammad Arif ; Agrawal, Raksha Rani ;
Kyungpook mathematical journal, volume 51, issue 1, 2011, Pages 87~91
DOI : 10.5666/KMJ.2011.51.1.087
Abstract
In this paper we obtain a Voronvskaya type theorem for modi ed Post-Widde operators.
10
Weakly np-Injective Rings and Weakly C2 Rings
Wei, Junchao ; Che, Jianhua ;
Kyungpook mathematical journal, volume 51, issue 1, 2011, Pages 93~108
DOI : 10.5666/KMJ.2011.51.1.093
Abstract
A ring R is called left weakly np- injective if for each non-nilpotent element a of R, there exists a positive integer n such that any left R- homomorphism from
to R is right multiplication by an element of R. In this paper various properties of these rings are first developed, many extending known results such as every left or right module over a left weakly np- injective ring is divisible; R is left seft-injective if and only if R is left weakly np-injective and
is weakly injective; R is strongly regular if and only if R is abelian left pp and left weakly np- injective. We next introduce the concepts of left weakly pp rings and left weakly C2 rings. In terms of these rings, we give some characterizations of (von Neumann) regular rings such as R is regular if and only if R is n- regular, left weakly pp and left weakly C2. Finally, the relations among left C2 rings, left weakly C2 rings and left GC2 rings are given.
11
On Quasi-Conformally Recurrent Manifolds with Harmonic Quasi-Conformal Curvature Tensor
Shaikh, Absos Ali ; Roy, Indranil ;
Kyungpook mathematical journal, volume 51, issue 1, 2011, Pages 109~124
DOI : 10.5666/KMJ.2011.51.1.109
Abstract
The main objective of the paper is to provide a full classification of quasi-conformally recurrent Riemannian manifolds with harmonic quasi-conformal curvature tensor. Among others it is shown that a quasi-conformally recurrent manifold with harmonic quasi-conformal curvature tensor is any one of the following: (i) quasi-conformally symmetric, (ii) conformally flat, (iii) manifold of constant curvature, (iv) vanishing scalar curvature, (v) Ricci recurrent.