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Communications of the Korean Mathematical Society
Journal Basic Information
pISSN :
1225-1763
eISSN :
2234-3024
Journal DOI :
10.4134/CKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Seoung Dal Jung
Volume & Issues
Volume 22, Issue 4 - Oct 2007
Volume 22, Issue 3 - Jul 2007
Volume 22, Issue 2 - Apr 2007
Volume 22, Issue 1 - Jan 2007
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1
ON STRONGLY REGULAR NEAR-SUBTRACTION SEMIGROUPS
Dheena, P. ; Kumar, G. Satheesh ;
Communications of the Korean Mathematical Society, volume 22, issue 3, 2007, Pages 323~330
DOI : 10.4134/CKMS.2007.22.3.323
Abstract
In this paper we introduce the notion of strongly regular near-subtraction semigroups (right). We have shown that a near-subtraction semigroup X is strongly regular if and only if it is regular and without non zero nilpotent elements. We have also shown that in a strongly regular near-subtraction semigroup X, the following holds: (i) Xa is an ideal for every a
X (ii) If P is a prime ideal of X, then there exists no proper k-ideal M such that P
M (iii) Every ideal I of X fulfills
.
2
ARITHMETIC OF INFINITE PRODUCTS AND ROGERS-RAMANUJAN CONTINUED FRACTIONS
Kim, Dae-Yeoul ; Koo, Ja-Kyung ; Simsek, Yilmaz ;
Communications of the Korean Mathematical Society, volume 22, issue 3, 2007, Pages 331~351
DOI : 10.4134/CKMS.2007.22.3.331
Abstract
Let k be an imaginary quadratic field, h the complex upper half plane, and let
,
. We find a lot of algebraic properties derived from theta functions, and by using this we explore some new algebraic numbers from Rogers-Ramanujan continued fractions.
3
POISSON BRACKET DETERMINED BY A COBRACKET
Oh, Sei-Qwon ; Shin, Yong-Yeon ;
Communications of the Korean Mathematical Society, volume 22, issue 3, 2007, Pages 353~357
DOI : 10.4134/CKMS.2007.22.3.353
Abstract
Let
be a Lie bialgebra. Here we give an explicit formula for the Poisson bracket on a subalgebra of
induced by the given cobracket
.
4
SOME QUESTIONS ON FUZZIFICATIONS OF IDEALS IN SUBTRACTION ALGEBRAS
Lee, Kyoung-Ja ; Park, Chul-Hwan ;
Communications of the Korean Mathematical Society, volume 22, issue 3, 2007, Pages 359~363
DOI : 10.4134/CKMS.2007.22.3.359
Abstract
In this paper, we introduce the notion of a fuzzy ideal in subtraction algebras, and give some conditions for a fuzzy set to be a fuzzy ideal in subtraction algebras. We also pose three questions on fuzzy ideals of subtraction algebras.
5
A DISTRIBUTION ON ℤ
_{p}
Oh, Jang-Heon ;
Communications of the Korean Mathematical Society, volume 22, issue 3, 2007, Pages 365~367
DOI : 10.4134/CKMS.2007.22.3.365
Abstract
In this paper we explicitly compute the p-adic order of
.
6
ANOTHER METHOD FOR A KUMMER-TYPE TRANSFORMATION FOR A
_{2}
F
_{2}
HYPERGEOMETRIC FUNCTION
Choi, June-Sang ; Rathie, Arjun K. ;
Communications of the Korean Mathematical Society, volume 22, issue 3, 2007, Pages 369~371
DOI : 10.4134/CKMS.2007.22.3.369
Abstract
Very recently, by employing an addition theorem for the con-fluent hypergeometric function, Paris has obtained a Kummer-type trans-formation for a
hypergeometric function with general parameters in the form of a sum of
functions. The aim of this note is to derive his result without using the addition theorem.
7
WEIGHTED COMPOSITION OPERATORS BETWEEN BERGMAN AND BLOCH SPACES
Sharma, Ajay K. ; Kumari, Rekha ;
Communications of the Korean Mathematical Society, volume 22, issue 3, 2007, Pages 373~382
DOI : 10.4134/CKMS.2007.22.3.373
Abstract
In this paper, we characterize the boundedness and compactness of weighted composition operators
acting between Bergman and Bloch spaces of holomorphic functions on the open unit disk D.
8
THE HYPERINVARIANT SUBSPACE PROBLEM FOR QUASI-n-HYPONORMAL OPERATORS
Kim, An-Hyun ; Kwon, Eun-Young ;
Communications of the Korean Mathematical Society, volume 22, issue 3, 2007, Pages 383~389
DOI : 10.4134/CKMS.2007.22.3.383
Abstract
In this paper we examine the hyperinvariant subspace problem for quasi-n-hyponormal operators. The main result on this problem is as follows. If T = N + K is such that N is a quasi-n-hyponormal operator whose spectrum contains an exposed arc and K belongs to the Schatten p-ideal then T has a non-trivial hyperinvariant subspace.
9
COMMON FIXED POINT FOR MULTIVALUED MAPPINGS IN INTUITIONISTIC FUZZY METRIC SPACES
Sharma, Sushil ; Kutukcu, Servet ; Rathore, R.S. ;
Communications of the Korean Mathematical Society, volume 22, issue 3, 2007, Pages 391~399
DOI : 10.4134/CKMS.2007.22.3.391
Abstract
The purpose of this paper is to obtain some common fixed point theorems for multivalued mappings in intuitionistic fuzzy metric space. We extend some earlier results.
10
SOME VECTOR IMPLICIT COMPLEMENTARITY PROBLEMS WITH CORRESPONDING VARIATIONAL INEQUALITY PROBLEMS
Kang, Mee-Kwang ;
Communications of the Korean Mathematical Society, volume 22, issue 3, 2007, Pages 401~410
DOI : 10.4134/CKMS.2007.22.3.401
Abstract
Some existence theorems of solutions of a new class of generalized vector F-implicit complementarity problems with the corresponding generalized vector F-implicit variational inequality problems were established.
11
ON N(k)-QUASI EINSTEIN MANIFOLDS
Tripathi, Mukut Mani ; Kim, Jeong-Sik ;
Communications of the Korean Mathematical Society, volume 22, issue 3, 2007, Pages 411~417
DOI : 10.4134/CKMS.2007.22.3.411
Abstract
N(k)-quasi Einstein manifolds are introduced and studied.
12
HESSIAN GEOMETRY OF THE HOMOGENEOUS GRAPH DOMAIN
Choi, Yun-Cherl ; Chang, Kyeong-Soo ;
Communications of the Korean Mathematical Society, volume 22, issue 3, 2007, Pages 419~428
DOI : 10.4134/CKMS.2007.22.3.419
Abstract
In this paper, we will investigate the Hessian geometry of the homogeneous domain over the hypersurface given by a function F :
with
.
13
COMMON FIXED POINT THEOREM FOR WEAKLY COMPATIBLE OF FOUR MAPPINGS
Ghadikolaee, Shaban Sedghi ; Shobe, Nabi ;
Communications of the Korean Mathematical Society, volume 22, issue 3, 2007, Pages 429~440
DOI : 10.4134/CKMS.2007.22.3.429
Abstract
In this paper, a common fixed point theorem for weak compatible maps in complete fuzzy metric spaces is proved.
14
SOME ALGEBRA FOR GENERALIZED PLANCK RANDOM VARIABLES
Nadarajah, Saralees ;
Communications of the Korean Mathematical Society, volume 22, issue 3, 2007, Pages 441~452
DOI : 10.4134/CKMS.2007.22.3.441
Abstract
The exact distributions of X + Y, XY and X/(X + Y) are derived when X and Y are independent generalized Planck random variables.
15
THREE-DIMENSIONAL NUMERICAL SIMULATIONS OF A PHASE-FIELD MODEL FOR ANISOTROPIC INTERFACIAL ENERGY
Kim, Jun-Seok ;
Communications of the Korean Mathematical Society, volume 22, issue 3, 2007, Pages 453~464
DOI : 10.4134/CKMS.2007.22.3.453
Abstract
A computationally efficient numerical scheme is presented for the phase-field model of two-phase systems for anisotropic interfacial energy. The scheme is solved by using a nonlinear multigrid method. When the coefficient for the anisotropic interfacial energy is sufficiently high, the interface of the system shows corners or missing crystallographic orientations. Numerical simulations with high and low anisotropic coefficients show excellent agreement with exact equilibrium shapes. We also present spinodal decomposition, which shows the robustness of the pro-posed scheme.
16
PERIODIC SOLUTIONS OF A DISCRETE TIME NON-AUTONOMOUS RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH CONTROL
Zeng, Zhijun ;
Communications of the Korean Mathematical Society, volume 22, issue 3, 2007, Pages 465~474
DOI : 10.4134/CKMS.2007.22.3.465
Abstract
With the help of the coincidence degree and the related continuation theorem, we explore the existence of at least two periodic solutions of a discrete time non-autonomous ratio-dependent predator-prey system with control. Some easily verifiable sufficient criteria are established for the existence of at least two positive periodic solutions.
17
HIGH-DEGREE INTERPOLATION RULES GENERATED BY A LINEAR FUNCTIONAL
Kim, Kyung-Joong ;
Communications of the Korean Mathematical Society, volume 22, issue 3, 2007, Pages 475~485
DOI : 10.4134/CKMS.2007.22.3.475
Abstract
We construct high-degree interpolation rules using not only pointwise values of a function but also of its derivatives up to the p-th order at equally spaced nodes on a closed and bounded interval of interest by introducing a linear functional from which we produce systems of linear equations. The linear systems will lead to a conclusion that the rules are uniquely determined for the nodes. An example is provided to compare the rules with the classical interpolating polynomials.