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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 24, Issue 4 - Oct 2009
Volume 24, Issue 3 - Jul 2009
Volume 24, Issue 2 - Apr 2009
Volume 24, Issue 1 - Jan 2009
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1
A GENERALIZED IDEAL BASED-ZERO DIVISOR GRAPHS OF NEAR-RINGS
Dheena, Patchirajulu ; Elavarasan, Balasubramanian ;
Communications of the Korean Mathematical Society, volume 24, issue 2, 2009, Pages 161~169
DOI : 10.4134/CKMS.2009.24.2.161
Abstract
In this paper, we introduce the generalized ideal-based zero-divisor graph structure of near-ring N, denoted by
. It is shown that if I is a completely reflexive ideal of N, then every two vertices in
are connected by a path of length at most 3, and if
contains a cycle, then the core K of
is a union of triangles and rectangles. We have shown that if
is a bipartite graph for a completely semiprime ideal I of N, then N has two prime ideals whose intersection is I.
2
PERMUTATION FUNCTIONS ARISING FROM INTERPOLATIONS
Jeong, Sangtae ; Lee, Hyeon-Ok ;
Communications of the Korean Mathematical Society, volume 24, issue 2, 2009, Pages 171~180
DOI : 10.4134/CKMS.2009.24.2.171
Abstract
In this paper, we give three criteria for non-polynomial functions interpolated from the set of univariate polynomials of degree less than m over a finite field to be a permutation on the same set.
3
CONGRUENCE PROPERTIES OF A DRINFELD MODULAR FUNCTION μ
Choi, So-Young ;
Communications of the Korean Mathematical Society, volume 24, issue 2, 2009, Pages 181~185
DOI : 10.4134/CKMS.2009.24.2.181
Abstract
The Drinfeld modular function
is a generator of the function field of the Drinfeld modular curve
and has an t-expansion with the integral coefficients at infinity. In this paper, we show that the coefficients of
has congruence properties modulo powers of T.
4
FATOU THEOREM AND EMBEDDING THEOREMS FOR THE MEAN LIPSCHITZ FUNCTIONS ON THE UNIT BALL
Cho, Hong-Rae ; Lee, Jin-Kee ;
Communications of the Korean Mathematical Society, volume 24, issue 2, 2009, Pages 187~195
DOI : 10.4134/CKMS.2009.24.2.187
Abstract
We investigate the boundary values of the holomorphic mean Lipschitz function. In fact, we prove that the admissible limit exists at every boundary point of the unit ball for the holomorphic mean Lipschitz functions under some assumptions on the Lipschitz order. Moreover, we get embedding theorems of holomorphic mean Lipschitz spaces into Hardy spaces or into the Bloch space on the unit ball in
.
5
COMPATIBLE MAPPINGS OF TYPE (I) AND (II) ON INTUITIONISTIC FUZZY METRIC SPACES IN CONSIDERATION OF COMMON FIXED POINT
Sharma, Sushil ; Deshpande, Bhavana ;
Communications of the Korean Mathematical Society, volume 24, issue 2, 2009, Pages 197~214
DOI : 10.4134/CKMS.2009.24.2.197
Abstract
In this paper, we formulate the definition of compatible mappings of type (I) and (II) in intuitionistic fuzzy metric spaces and prove a common fixed point theorem by using the conditions of compatible mappings of type (I) and (II) in complete intuitionistic fuzzy metric spaces. Our results intuitionistically fuzzify the result of Cho, Sedghi, and Shobe [4].
6
A HOLLING TYPE II FOOD CHAIN SYSTEM WITH BIOLOGICAL AND CHEMICAL CONTROLS
Baek, Hunki ;
Communications of the Korean Mathematical Society, volume 24, issue 2, 2009, Pages 215~226
DOI : 10.4134/CKMS.2009.24.2.215
Abstract
For a class of Holling type II food chain systems with biological and chemical controls, we give conditions of the local stability of prey-free periodic solutions and of the permanence of the system. Further, we show the system is uniformly bounded.
7
CONVERGENCE THEOREMS FOR SET-VALUED DENJOY-PETTIS INTEGRABLE MAPPINGS
Park, Chun-Kee ;
Communications of the Korean Mathematical Society, volume 24, issue 2, 2009, Pages 227~237
DOI : 10.4134/CKMS.2009.24.2.227
Abstract
In this paper, we introduce the Denjoy-Pettis integral of set-valued mappings and investigate some properties of the set-valued Denjoy-Pettis integral. Finally we obtain the Dominated Convergence Theorem and Monotone Convergence Theorem for set-valued Denjoy-Pettis integrable mappings.
8
CERTAIN TRINOMIAL EQUATIONS AND LACUNARY POLYNOMIALS
Kim, Seon-Hong ;
Communications of the Korean Mathematical Society, volume 24, issue 2, 2009, Pages 239~245
DOI : 10.4134/CKMS.2009.24.2.239
Abstract
We estimate the positive real zeros of certain trinomial equations and then deduce zeros bounds of some lacunary polynomials.
9
FIXED POINT THEORY FOR VARIOUS CLASSES OF PERMISSIBLE MAPS VIA INDEX THEORY
Agarwal, Ravi P. ; O'Regan, Donal ;
Communications of the Korean Mathematical Society, volume 24, issue 2, 2009, Pages 247~263
DOI : 10.4134/CKMS.2009.24.2.247
Abstract
In this paper we use degree and index theory to present new applicable fixed point theory for permissible maps.
10
ON 3-DIMENSIONAL NORMAL ALMOST CONTACT METRIC MANIFOLDS SATISFYING CERTAIN CURVATURE CONDITIONS
De, Uday Chand ; Mondal, Abul Kalam ;
Communications of the Korean Mathematical Society, volume 24, issue 2, 2009, Pages 265~275
DOI : 10.4134/CKMS.2009.24.2.265
Abstract
The object of the present paper is to study 3-dimensional normal almost contact metric manifolds satisfying certain curvature conditions. Among others it is proved that a parallel symmetric (0, 2) tensor field in a 3-dimensional non-cosympletic normal almost contact metric manifold is a constant multiple of the associated metric tensor and there does not exist a non-zero parallel 2-form. Also we obtain some equivalent conditions on a 3-dimensional normal almost contact metric manifold and we prove that if a 3-dimensional normal almost contact metric manifold which is not a
-Sasakian manifold satisfies cyclic parallel Ricci tensor, then the manifold is a manifold of constant curvature. Finally we prove the existence of such a manifold by a concrete example.
11
SOME REMARKS ON CENTERED-LINDELÖF SPACES
Song, Yan-Kui ;
Communications of the Korean Mathematical Society, volume 24, issue 2, 2009, Pages 277~280
DOI : 10.4134/CKMS.2009.24.2.277
Abstract
In this paper, we prove the following two statements: (1) There exists a Hausdorff locally
centered-
space that is not star-
. (2) There exists a
locally compact centered-
space that is not star-
. The two statements give a partial answer to Bonanzinga and Matveev [2, Question 1].
12
AN EXTENSION OF FIXED POINT THEOREMS CONCERNING CONE EXPANSION AND COMPRESSION AND ITS APPLICATION
Wang, Feng ; Zhang, Fang ;
Communications of the Korean Mathematical Society, volume 24, issue 2, 2009, Pages 281~290
DOI : 10.4134/CKMS.2009.24.2.281
Abstract
The famous Guo-Krasnosel'skii fixed point theorems concerning cone expansion and compression of norm type and order type are extended, respectively. As an application, the existence of multiple positive solutions for systems of Hammerstein type integral equations is considered.
13
ON THE COMPUTATIONS OF CONTIGUOUS RELATIONS FOR
_{2}
F
_{1}
HYPERGEOMETRIC SERIES
Rakha, Medhat A. ; Ibrahim, Adel K. ; Rathie, Arjun K. ;
Communications of the Korean Mathematical Society, volume 24, issue 2, 2009, Pages 291~302
DOI : 10.4134/CKMS.2009.24.2.291
Abstract
Contiguous relations for hypergeometric series contain an enormous amount of hidden information. Applications of contiguous relations range from the evaluation of hypergeometric series to the derivation of summation and transformation formulas for such series. In this paper, a general formula joining three Gauss functions of the form
[
,
;
; z] with arbitrary integer shifts is presented. Our analysis depends on using shifted operators attached to the three parameters
,
and
. We also, discussed the existence condition of our formula.
14
SPECIFIC EXAMPLES OF EXPONENTIAL WEIGHTS
Jung, Hee-Sun ; Sakai, Ryozi ;
Communications of the Korean Mathematical Society, volume 24, issue 2, 2009, Pages 303~319
DOI : 10.4134/CKMS.2009.24.2.303
Abstract
Let
:
be an even function. Then we will consider the exponential weights w(x) = exp(-Q(x)) in the weight class from [2]. In the paper, we will give some relations among exponential weights in this class and introduce a new weight subclass. In addition, we will investigate some properties of the typical and specific weights in these weight classes.