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Honam Mathematical Journal
Journal Basic Information
pISSN :
1225-293X
eISSN :
Journal DOI :
10.5831/HMJ
Frequency :
Others
Publisher:
The Honam Mathematical Society
Editor in Chief :
Myung Hyun Cho
Volume & Issues
Volume 32, Issue 4 - Dec 2010
Volume 32, Issue 3 - Sep 2010
Volume 32, Issue 2 - Jun 2010
Volume 32, Issue 1 - Mar 2010
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1
SUPERSTABILITY OF FUNCTIONAL INEQUALITIES ASSOCIATED WITH GENERAL EXPONENTIAL FUNCTIONS
Lee, Eun-Hwi ;
Honam Mathematical Journal, volume 32, issue 4, 2010, Pages 537~544
DOI : 10.5831/HMJ.2010.32.4.537
Abstract
We prove the superstability of a functional inequality associated with general exponential functions as follows;
. It is a generalization of the superstability theorem for the exponential functional equation proved by Baker.
2
T-INTERVAL-VALUED FUZZY SUBGROUPS AND RINGS
Kang, Hee-Won ;
Honam Mathematical Journal, volume 32, issue 4, 2010, Pages 545~561
DOI : 10.5831/HMJ.2010.32.4.545
Abstract
We introduce the concepts of interval-valued fuzzy sub-groups [resp. normal subgroups, rings and ideals] and investigate some of it's properties.
3
CALCULATING ZEROS OF THE TWISTED (h, q)-EXTENSION OF GENOCCHI POLYNOMIALS
Ryoo, C.S. ; Kim, T. ;
Honam Mathematical Journal, volume 32, issue 4, 2010, Pages 563~579
DOI : 10.5831/HMJ.2010.32.4.563
Abstract
In this paper we introduce the new analogs of Genocchi numbers and polynomials. Finally, we investigate the zeros of the twisted (h,q)-extension of Genocchi polynomials
(x).
4
SOME DECOMPOSITION FORMULAS ASSOCIATED WITH THE SARAN FUNCTION F
_{E}
Kim, Yong-Sup ; Hasanov, Anvar ; Lee, Chang-Hyun ;
Honam Mathematical Journal, volume 32, issue 4, 2010, Pages 581~592
DOI : 10.5831/HMJ.2010.32.4.581
Abstract
With the help of some techniques based upon certain inverse pairs of symbolic operators initiated by Burchnall-Chaundy, the authors investigate decomposition formulas associated with Saran's function
in three variables. Many operator identities involving these pairs of symbolic operators are first constructed for this purpose. By employing their decomposition formulas, we also present a new group of integral representations for the Saran function
.
5
INTERVAL-VALUED FUZZY SUBGROUPS AND RINGS
Kang, Hee-Won ; Hur, Kul ;
Honam Mathematical Journal, volume 32, issue 4, 2010, Pages 593~617
DOI : 10.5831/HMJ.2010.32.4.593
Abstract
We introduce the concepts of interval-valued fuzzy sub-groups [resp. normal subgroups, rings and ideals] and investigate some of it's properties.
6
QUASI GENERALIZED OPEN SETS AND QUASI GENERALIZED CONTINUITY ON BIGENERALIZED TOPOLOGICAL SPACES
Min, Won-Keun ; Kim, Young-Key ;
Honam Mathematical Journal, volume 32, issue 4, 2010, Pages 619~624
DOI : 10.5831/HMJ.2010.32.4.619
Abstract
We introduce the notions of bigeneralized topological spaces and quasi generalized open sets, and study some basic properties for the sets. We also introduce the notion of quasi generalized continuity on bigeneralized topological spaces, and investigate characterizations for the continuity.
7
DEDUCTIVE SYSTEMS IN COMMUTATIVE PRE-LOGICS
Kim, Young-Hie ; Ahn, Sun-Shin ;
Honam Mathematical Journal, volume 32, issue 4, 2010, Pages 625~632
DOI : 10.5831/HMJ.2010.32.4.625
Abstract
The notions of commutative pre-logics and terminal sections are introduced. Characterizations of a commutative prelogic are provided. Properties of deductive systems in pre-logics which are upper semilattices are considered.
8
THE GENERALIZED ANALOGUE OF WIENER MEASURE SPACE AND ITS PROPERTIES
Ryu, Kun-Sik ;
Honam Mathematical Journal, volume 32, issue 4, 2010, Pages 633~642
DOI : 10.5831/HMJ.2010.32.4.633
Abstract
In this note, we introduce the definition of the generalized analogue of Wiener measure on the space C[a, b] of all real-valued continuous functions on the closed interval [a, b], give several examples of it and investigate some important properties of it - the Fernique theorem and the existence theorem of scale-invariant measurable subsets on C[a, b].
9
ON SUBMAXIMAL AND QUASI-SUBMAXIMAL SPACES
Lee, Seung-Woo ; Moon, Mi-Ae ; Cho, Myung-Hyun ;
Honam Mathematical Journal, volume 32, issue 4, 2010, Pages 643~649
DOI : 10.5831/HMJ.2010.32.4.643
Abstract
The purpose of this paper is to study some properties of quasi-submaximal spaces and related examples. More precisely, we prove that if X is a quasi-submaximal and nodec space, then X is submaximal. As properties of quasi-submaximality, we show that if X is a quasi-submaximal space, then (a) for every dense
, Int(D) is dense in X, and (b) there are no disjoint dense subsets. Also, we illustrate some basic facts and examples giving the relationships among the properties mentioned in this paper.
10
YANG-MILLS CONNECTIONS ON CLOSED LIE GROUPS
Pyo, Yong-Soo ; Shin, Young-Lim ; Park, Joon-Sik ;
Honam Mathematical Journal, volume 32, issue 4, 2010, Pages 651~661
DOI : 10.5831/HMJ.2010.32.4.651
Abstract
In this paper, we obtain a necessary and sufficient condition for a left invariant connection in the tangent bundle over a closed Lie group with a left invariant metric to be a Yang-Mills connection. Moreover, we have a necessary and sufficient condition for a left invariant connection with a torsion-free Weyl structure in the tangent bundle over SU(2) with a left invariant Riemannian metric g to be a Yang-Mills connection.
11
COMMON FIXED POINT FOR COMPATIBLE MAPPINGS OF TYPE(α) ON INTUITIONISTIC FUZZY METRIC SPACE WITH IMPLICIT RELATIONS
Park, Jong-Seo ;
Honam Mathematical Journal, volume 32, issue 4, 2010, Pages 663~673
DOI : 10.5831/HMJ.2010.32.4.663
Abstract
In this paper, we will establish common fixed point for compatible mappings of type(
) for four self mappings defined on intuitionistic fuzzy metric space with implicit relations.
12
TIGHT CLOSURE OF IDEALS RELATIVE TO MODULES
Ansari-Toroghy, H. ; Dorostkar, F. ;
Honam Mathematical Journal, volume 32, issue 4, 2010, Pages 675~687
DOI : 10.5831/HMJ.2010.32.4.675
Abstract
In this paper the dual notion of tight closure of ideals relative to modules is introduced and some related results are obtained.
13
ON THE LIMIT BEHAVIOR OF EXTENDED NEGATIVE QUADRANT DEPENDENCE
Baek, Jong-Il ; Lee, Gil-Hwan ;
Honam Mathematical Journal, volume 32, issue 4, 2010, Pages 689~699
DOI : 10.5831/HMJ.2010.32.4.689
Abstract
We discuss in this paper the notions of extended negative quadrant dependence and its properties. We study a class of bivariate uniform distributions having extended negative quadrant dependence, which is derived by generalizing the uniform representation of a well-known Farlie-Gumbel-Morgenstern distribution. Finally, we also study the limit behavior on the extended negative quadrant dependence.
14
INTERVAL-VALUED FUZZY IRRESOLUTE MAPPINGS ON INTERVAL-VALUED FUZZY TOPOLOGICAL SPACES
Min, Won-Keun ; Kim, Myeong-Hwan ;
Honam Mathematical Journal, volume 32, issue 4, 2010, Pages 701~709
DOI : 10.5831/HMJ.2010.32.4.701
Abstract
We introduce the concepts of IVF irresolute mappings and IVF irresolute open mappings, and investigate characterizations for such mappings on the interval-valued fuzzy topological spaces.
15
INTERVAL-VALUED SMOOTH TOPOLOGICAL SPACES
Choi, Jeong-Yeol ; Kim, So-Ra ; Hur, Kul ;
Honam Mathematical Journal, volume 32, issue 4, 2010, Pages 711~738
DOI : 10.5831/HMJ.2010.32.4.711
Abstract
We list two kinds of gradation of openness and we study in the sense of the followings: (i) We give the definition of IVGO of fuzzy sets and obtain some basic results. (ii) We give the definition of interval-valued gradation of clopeness and obtain some properties. (iii) We give the definition of a subspace of an interval-valued smooth topological space and obtain some properties. (iv) We investigate some properties of gradation preserving (in short, IVGP) mappings.
16
HOMOGENEOUS IDEAL I(+)IM OF R(+)M
Cho, Yong-Hwan ;
Honam Mathematical Journal, volume 32, issue 4, 2010, Pages 739~746
DOI : 10.5831/HMJ.2010.32.4.739
Abstract
In this short paper, we show that properties of an ideal I of a ring R are related to those of the homogeneous ideal I(+)IM of a ring R(+)M.
17
ON THE STRUCTURE JACOBI OPERATOR AND RICCI TENSOR OF REAL HYPERSURFACES IN NONFLAT COMPLEX SPACE FORMS
Kim, Soo-Jin ;
Honam Mathematical Journal, volume 32, issue 4, 2010, Pages 747~761
DOI : 10.5831/HMJ.2010.32.4.747
Abstract
It is known that there are no real hypersurfaces with parallel structure Jacobi operator
(cf.[16], [17]). In this paper we investigate real hypersurfaces in a nonflat complex space form using some conditions of the structure Jacobi operator
which are weaker than
= 0. Under further condition
for the Ricci tensor S we characterize Hopf hypersurfaces in a complex space form.
18
A H
^{∞}
-OPTIMIZATION PROBLEM
Kim, An-Hyun ; Kwon, Eun-Young ;
Honam Mathematical Journal, volume 32, issue 4, 2010, Pages 763~767
DOI : 10.5831/HMJ.2010.32.4.763
Abstract
In this note, we give a solution of a
-optimization problem.
19
PEBBLING EXPONENTS OF PATHS
Kim, Ju-Young ; Kim, Sun-Ah ;
Honam Mathematical Journal, volume 32, issue 4, 2010, Pages 769~776
DOI : 10.5831/HMJ.2010.32.4.769
Abstract
A pebbling move on a connected graph G is taking two pebbles off of one vertex and placing one of them on an adjacent vertex. For a connected graph G,
(p > 1) is the graph obtained from G by adding the edges (u, v) to G whenever 2
dist(u, v)
p in G. And the pebbling exponent of a graph G to be the least power of p such that the pebbling number of
is equal to the number of vertices of G. We compute the pebbling number of fourth power of paths so that the pebbling exponents of some paths are calculated.
20
SURFACES WITH PLANAR LINES OF CURVATURE
Kim, Dong-Soo ; Kim, Young-Ho ;
Honam Mathematical Journal, volume 32, issue 4, 2010, Pages 777~790
DOI : 10.5831/HMJ.2010.32.4.777
Abstract
We study surfaces in the 3-dimensional Euclidean space with two family of planar lines of curvature. As a result, we establish some characterization theorems for such surfaces.
21
CONGRUENCES OF L-VALUES FOR CYCLIC EXTENSIONS
Lee, Joon-Gul ;
Honam Mathematical Journal, volume 32, issue 4, 2010, Pages 791~795
DOI : 10.5831/HMJ.2010.32.4.791
Abstract
We study the consequences of Gross's conjecture for cyclic extensions of degree
where l is prime, and deduce that the L-values at s = 0 satisfy certain congruence relations.