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Korean Journal of Mathematics
Journal Basic Information
pISSN :
1976-8605
eISSN :
2288-1433
Journal DOI :
10.11568/kjm
Frequency :
Others
Publisher:
The Kangwon-Kyungki Mathematical Society
Editor in Chief :
Gi-Sang Cheon
Volume & Issues
Volume 20, Issue 4 - Dec 2012
Volume 20, Issue 3 - Sep 2012
Volume 20, Issue 2 - Jun 2012
Volume 20, Issue 1 - Mar 2012
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1
NEW CONSTRUCTION OF THE EAGON-NORTHCOTT COMPLEX
Kang, Oh-Jin ; Kim, Joohyung ;
Korean Journal of Mathematics, volume 20, issue 2, 2012, Pages 161~176
DOI : 10.11568/kjm.2012.20.2.161
Abstract
The authors [6] introduced the concept of a complete matrix of grade
> 3 to describe a structure theorem for complete intersections of grade
> 3. We show that a complete matrix can be used to construct the Eagon-Northcott complex [7]. Moreover, we prove that it is the minimal free resolution
of a class of determinantal ideals of
matrices
such that entries of each row of
form a regular sequence and the second differential map of
is a matrix
defined by the complete matrices of grade
.
2
A NOTE ON FOUR TYPES OF REGULAR RELATIONS
Song, H.S. ;
Korean Journal of Mathematics, volume 20, issue 2, 2012, Pages 177~184
DOI : 10.11568/kjm.2012.20.2.177
Abstract
In this paper, we study the four different types of relations,
,
,
, and
in a transformation (X,T), and obtain some of their properties. In particular, we give a relationship between
and
.
3
INTEGRAL DOMAINS WITH FINITELY MANY STAR OPERATIONS OF FINITE TYPE
Chang, Gyu Whan ;
Korean Journal of Mathematics, volume 20, issue 2, 2012, Pages 185~191
DOI : 10.11568/kjm.2012.20.2.185
Abstract
Let D be an integral domain and SF(D) be the set of star operations of finite type on D. We show that if
<
, then every maximal ideal of D is a
-ideal. We give an example of integrally closed quasi-local domains D in which the maximal ideal is divisorial (so a
-ideal) but
. We also study the integrally closed domains D with
.
4
THE PROPERTIES OF FUZZY CONNECTIONS
Kim, Yong Chan ; Kim, Young Sun ;
Korean Journal of Mathematics, volume 20, issue 2, 2012, Pages 193~212
DOI : 10.11568/kjm.2012.20.2.193
Abstract
We investigate the properties of fuzzy connections. We find generating functions which induce fuzzy connections. In particular, we show that their connections relate to fuzzy relations.
5
SUPERSTABILITY OF THE GENERALIZED PEXIDER TYPE EXPONENTIAL EQUATION IN ABELIAN GROUP
Kim, Gwang Hui ;
Korean Journal of Mathematics, volume 20, issue 2, 2012, Pages 213~223
DOI : 10.11568/kjm.2012.20.2.213
Abstract
In this paper, we will prove the superstability of the following generalized Pexider type exponential equation
, where
are unknown mappings and
is a fixed positive integer. Here G is an Abelian group (G, +), and
the set of real numbers. Also we will extend the obtained results to the Banach algebra. The obtained results are generalizations of P. G
vruta's result in 1994 and G. H. Kim's results in 2011.
6
STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR SYSTEMS OF VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS IN q-UNIFORMLY SMOOTH BANACH SPACES
Jeong, Jae Ug ;
Korean Journal of Mathematics, volume 20, issue 2, 2012, Pages 225~237
DOI : 10.11568/kjm.2012.20.2.225
Abstract
In this paper, we introduce a new iterative scheme to investigate the problem of nding a common element of nonexpansive mappings and the set of solutions of generalized variational inequalities for a
-strict pseudo-contraction by relaxed extra-gradient methods. Strong convergence theorems are established in
-uniformly smooth Banach spaces.
7
APPLICATIONS OF LINKING INEQUALITIES TO AN ASYMMETRIC BEAM EQUATION
Choi, Q-Heung ; Jung, Tacksun ;
Korean Journal of Mathematics, volume 20, issue 2, 2012, Pages 239~245
DOI : 10.11568/kjm.2012.20.2.239
Abstract
We prove that an asymmetric beam equation has at least two solutions, one of which is a positive solution. To prove the existence of the other solution, we use linking inequalities.
8
CLASSIFICATION OF TWO-REGULAR DIGRAPHS WITH MAXIMUM DIAMETER
Kim, Byeong Moon ; Song, Byung Chul ; Hwang, Woonjae ;
Korean Journal of Mathematics, volume 20, issue 2, 2012, Pages 247~254
DOI : 10.11568/kjm.2012.20.2.247
Abstract
The Klee-Quaife problem is finding the minimum order
of the
graph, which is a
-vertex connected
-regular graph with diameter
. Many authors contributed finding
and they also enumerated and classied the graphs in several cases. This problem is naturally extended to the case of digraphs. So we are interested in the extended Klee-Quaife problem. In this paper, we deal with an equivalent problem, finding the maximum diameter of digraphs with given order, focused on 2-regular case. We show that the maximum diameter of strongly connected 2-regular digraphs with order
is
, and classify the digraphs which have diameter
. All 15 nonisomorphic extremal digraphs are listed.
9
A REFINEMENT FOR ORDERED LABELED TREES
Seo, Seunghyun ; Shin, Heesung ;
Korean Journal of Mathematics, volume 20, issue 2, 2012, Pages 255~261
DOI : 10.11568/kjm.2012.20.2.255
Abstract
Let
be the set of ordered labeled trees on
. A maximal decreasing subtree of an ordered labeled tree is defined by the maximal ordered subtree from the root with all edges being decreasing. In this paper, we study a new refinement
of
, which is the set of ordered labeled trees whose maximal decreasing subtree has
vertices.
10
A BIFURCATION PROBLEM FOR THE BIHARMONIC OPERATOR
Jung, Tacksun ; Choi, Q-Heung ;
Korean Journal of Mathematics, volume 20, issue 2, 2012, Pages 263~271
DOI : 10.11568/kjm.2012.20.2.263
Abstract
We investigate the number of the solutions for the biharmonic boundary value problem with a variable coefficient nonlinear term. We get a theorem which shows the existence of
weak solutions for the biharmonic problem with variable coefficient. We obtain this result by using the critical point theory induced from the invariant function and invariant linear subspace.