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REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
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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 :
Volume & Issues
Volume 18, Issue 4 - Dec 2010
Volume 18, Issue 3 - Sep 2010
Volume 18, Issue 2 - Jun 2010
Volume 18, Issue 1 - Mar 2010
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1
ALMOST HOMOMORPHISMS BETWEEN BANACH ALGEBRAS
Lee, Sung-Jin ; Park, Choon-Kil ;
Korean Journal of Mathematics, volume 18, issue 1, 2010, Pages 1~10
Abstract
It is shown that for an almost algebra homomorphism between Banach algebras, there exists a unique algebra homomorphism near the almost algebra homomorphism. Moreover, we prove that for an almost algebra *-homomorphism between
-algebras, there exists a unique algebra *-homomorphism near the almost algebra *-homomorphism, and that for an almost algebra *-homomorphism between
-algebras, there exists a unique algebra *-homomorphism near the almost algebra *-homomorphism.
2
FIXED DEGREE THEOREMS FOR FUZZY MAPPINGS IN SYMMETRIC SPACES
Cho, Seong-Hoon ; Bae, Seung-Jeong ;
Korean Journal of Mathematics, volume 18, issue 1, 2010, Pages 11~19
Abstract
In this paper, several common fixed degree theorems of a sequence of fuzzy mappings defined on symmetric spaces are established.
3
SOME GEOMETRIC RESULTS ON A PARTICULAR SOLUTION OF EINSTEIN'S EQUATION
Lee, Jong-Woo ;
Korean Journal of Mathematics, volume 18, issue 1, 2010, Pages 21~28
Abstract
In the unified field theory(UFT), many works on the solutions of Einstein's equation have been published. The main goal in the present paper is to obtain some geometric results on a particular solution of Einstein's equation under some condition in even-dimensional UFT
.
4
FERMAT-TYPE EQUATIONS FOR M
BIUS TRANSFORMATIONS
Kim, Dong-Il ;
Korean Journal of Mathematics, volume 18, issue 1, 2010, Pages 29~35
Abstract
A Fermat-type equation deals with representing a nonzero constant as a sum of
th powers of nonconstant functions. Suppose that
2. Consider
. Let
be the smallest number of functions that give the above identity. We consider the Fermat-type equation for MAobius transformations and obtain
.
5
LOCALLY DIVIDED DOMAINS OF THE FORM D
Chang, Gyu-Whan ;
Korean Journal of Mathematics, volume 18, issue 1, 2010, Pages 37~43
Abstract
Let D be an integral domain, X be an indeterminate over D, and
. In this paper, we introduce the concept of
-locally divided domains, and we then prove that
is a locally divided domain if and only if D is a
-locally divided UMT-domain, if and only if D[X] is a t-locally divided domain.
6
ALMOST LINDEL
F FRAMES
Khang, Mee-Kyung ;
Korean Journal of Mathematics, volume 18, issue 1, 2010, Pages 45~52
Abstract
Generalizing Lindel
f frames and almost compact frames, we introduce a concept of almost Lindel
f frames. Using a concept of
-filters on frames, we characterize almost Lindel
f frames and then have their permanence properties. We also show that almost Lindel
f regular D(
) frames are exactly Lindel
f frames. Finally we construct an almost Lindel
fication of a frame L via the simple Wextension of L associated with the set of all
-filters F on L with
.
7
AN APPLICATION OF A LINKING METHOD TO A GENERAL ELLIPTIC SYSTEM
Nam, Hye-Won ;
Korean Journal of Mathematics, volume 18, issue 1, 2010, Pages 53~61
Abstract
In this work, we consider an elliptic system of three equations in dimension greater than one. We prove that the system has at least three nontrivial solutions by applying a linking theorem.
8
INFINITE FINITE RANGE INEQUALITIES
Joung, Hae-Won ;
Korean Journal of Mathematics, volume 18, issue 1, 2010, Pages 63~77
Abstract
Infinite finite range inequalities relate the norm of a weighted polynomial over
to its norm over a finite interval. In this paper we extend such inequalities to generalized polynomials with the weight
.
9
A HOMOMORPHISM OF MINIMAL SETS AND ITS REGULARIZER
Song, H.S. ;
Korean Journal of Mathematics, volume 18, issue 1, 2010, Pages 79~86
Abstract
In this paper we give some results on homomorphisms of flows. In particular, we investigate the sufficient conditions for the homomorphism of flows to be its own regularizer.
10
REDUCTION METHOD APPLIED TO THE NONLINEAR BIHARMONIC PROBLEM
Jung, Tack-Sun ; Choi, Q.-Heung ;
Korean Journal of Mathematics, volume 18, issue 1, 2010, Pages 87~96
Abstract
We consider the semilinear biharmonic equation with Dirichlet boundary condition. We give a theorem that there exist at least three nontrivial solutions for the semilinear biharmonic boundary value problem. We show this result by using the critical point theory, the finite dimensional reduction method and the shape of the graph of the corresponding functional on the finite reduction subspace.
11
THE STRUCTURE OF THE RADICAL OF THE NON SEMISIMPLE GROUP RINGS
Yoo, Won-Sok ;
Korean Journal of Mathematics, volume 18, issue 1, 2010, Pages 97~103
Abstract
It is well known that the group ring K[G] has the nontrivial Jacobson radical if K is a field of characteristic
and G is a finite group of which order is divided by a prime
: This paper is concerned with the structure of the Jacobson radical of such a group ring.