Go to the main menu
Skip to content
Go to bottom
REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
search word
HOME
>
Journal Browse
>
About Journal
> Journal Vol & Issue
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 5, Issue 2 - Sep 1997
Volume 5, Issue 1 - Feb 1997
Selecting the target year
2016
2015
2014
2013
2012
2011
2010
2009
2008
2007
2006
2005
2004
2003
2002
2001
2000
1999
1998
1997
1996
1995
1994
1993
All
1
THE EQUIVALENCE OF TWO ALGEBARAIC K-THEORIES
Song, Yongjin ;
Korean Journal of Mathematics, volume 5, issue 2, 1997, Pages 107~112
Abstract
For a ring R with 1, the higher K-theory of Quillen is defined by the higher homotopy groups of the plus construction of the general linear group of R. On the other hand, the Volodin K-theory is defined by the higher homotopy groups of the Volodin space. In this paper we show that these two K-theories are equivalent. We show that the Volodin space is a homotopy fiber of the acyclic map from BGL(R) to its plus construction.
2
ON THE KNOTTED ELASTIC CURVES
Kweon, Dae Seop ;
Korean Journal of Mathematics, volume 5, issue 2, 1997, Pages 113~118
Abstract
According to the Bernoulli-Euler theory of elastic rods the bending energy of the wire is proportional to the total squared curvature of
, which we will denote by
. If the result of J.Langer and D.Singer [3] extend to knotted elastic curve, then we obtain the following. Let {
} be a closed knotted elastic curve. If the curvature of
is nonzero for everywhere, then
lies on torus.
3
BASIC CONSTRUCTIONS FOR N
_{f}
ᑕ M
_{f}
Lee, Jung Rye ;
Korean Journal of Mathematics, volume 5, issue 2, 1997, Pages 119~125
Abstract
We show that there exists an isomorphism between the basic construction
for
and the reduction
of the basic construction
for
, where
is a nontrivial projection in N. For a nontrivial projection
we give the basic construction
for
and compare it with
.
4
HARMONIC LITTLE BLOCH FUNCTIONS ON THE UPPER HALF-SPACE
Yi, HeungSu ;
Korean Journal of Mathematics, volume 5, issue 2, 1997, Pages 127~134
Abstract
On the setting of the upper half-space of the euclidean n-space, we study some properties of harmonic little Bloch functions and we show that for a given harmonic little Bloch function
, there exists unique harmonic conjugates of
, which are also little Bloch functions with appropriate norm bounds.
5
THE WEAKLY SEMI-PRIME IDEALS OF po-Γ-SEMIGROUPS
Kwon, Young In ; Lee, Sang Keun ;
Korean Journal of Mathematics, volume 5, issue 2, 1997, Pages 135~139
Abstract
We introduce the concepts of weakly prime and weakly semi-prime ideals in po-
-semigroup and give some characterizations of weakly prime and weakly semi-prime ideals of po-
-semigroups analogous to the characterizations of weakly prime and weakly semi-prime ideals of po-semigroups considered by N. Kehayopulu.
6
CONFORMAL CHANGE OF THE TENSOR U
^{ν}
_{λ}
_{μ}
FOR THE SECOND CATEGORY IN 6-DIMENSIONAL g-UFT
Cho, Chung Hyun ;
Korean Journal of Mathematics, volume 5, issue 2, 1997, Pages 141~149
Abstract
We investigate chnage of the tensor
induced by the conformal change in 6-dimensional
-unified field theory. These topics will be studied for the second class with the second category in 6-dimensional case.
7
UNIQUENESS OF SOLUTIONS FOR A DEGENERATE PARABOLIC EQUATION WITH ABSORPTION
Lee, Jin Ho ; Jang, Seong Hee ;
Korean Journal of Mathematics, volume 5, issue 2, 1997, Pages 151~167
Abstract
We estimate the interior Lipschitz norm and maximum of the solution for degenerate parabolic equations with absorption. Also obtain the growth rate of the solution
in terms of time
. From this we show the uniqueness of solution with respect to the initial trace.
8
A NOTE ON LIFTING TRANSFORMATION GROUPS
Cho, Sung Ki ; Park, Choon Sung ;
Korean Journal of Mathematics, volume 5, issue 2, 1997, Pages 169~176
Abstract
The purpose of this note is to compare two known results related to the lifting problem of an action of a topological group G on a G-space X to a coverring space of X.
9
ESTIMATIONS OF THE GENERALIZED REIDEMEISTER NUMBERS
Ahn, Soo Youp ; Lee, Eung Bok ; Park, Ki Sung ;
Korean Journal of Mathematics, volume 5, issue 2, 1997, Pages 177~183
Abstract
Let
be the fundamental group of a transformation group (X,G). Let
) be the generalized Reidemeister number for an endomorphism
. In this paper, our main results are as follows ; we prove some sufficient conditions for
to be the cardinality of
, where 1 is the identity isomorphism and
is the endomorphism of
, the quotient group of
by the commutator subgroup
, induced by (
). In particular, we prove
, provided that (
) is eventually commutative.
10
COMPLEX BORDISM OF CLASSIFYING SPACES OF THE DIHEDRAL GROUP
Cha, Jun Sim ; Kwak, Tai Keun ;
Korean Journal of Mathematics, volume 5, issue 2, 1997, Pages 185~193
Abstract
In this paper, we study the
-module structure of
(BG) mod
for non abelian groups of the order
. We know
. The similar fact occurs for
-homology
by using the spectral sequence
.
11
PETTIS INTEGRABILITY
Lim, Hui ;
Korean Journal of Mathematics, volume 5, issue 2, 1997, Pages 195~198
Abstract
In this paper, we have some characterizations of Pettis integrability of bounded weakly measurable function
determined by separable subspace of
.
12
DENSITY OF SEMIMARTINGALE IN CANONICAL STOCHASTIC DIFFERENTIAL EQUATION
Oh, Jae-Pill ;
Korean Journal of Mathematics, volume 5, issue 2, 1997, Pages 199~209
Abstract
The existence and the smoothness of densities of random variables, which are generated by the canonical stochastic differential equation, can be proved by the Malliavin - Bismut method.
13
SEQUENTIAL COMPACTNESS AND SEMICOMPACTNESS
Myung, Jae Deuk ; Choi, Hee Chan ;
Korean Journal of Mathematics, volume 5, issue 2, 1997, Pages 211~215
Abstract
In this paper, we introduce two notions of compactness defined by sequential convergence and compare them.
14
ON MCSHANE-STIELTJES INTEGRAL
Yoon, Ju Han ; Eun, Gwang Sik ; Lee, Young Chan ;
Korean Journal of Mathematics, volume 5, issue 2, 1997, Pages 217~225
Abstract
In this paper, we define the McShane-Stieltjes integral for real-valued function and prove some of its properties.
15
BANACH-STEINHAUS PROPERTIES OF LOCALLY CONVEX SPACES
Chengri, Cui ; Han, Songho ;
Korean Journal of Mathematics, volume 5, issue 2, 1997, Pages 227~232
Abstract
Banach-Steinhaus type results are established for sequentially continuous operators and bounded operators between locally convex spaces without barrelledness.