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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 11, Issue 4 - Oct 1996
Volume 11, Issue 3 - Jul 1996
Volume 11, Issue 2 - Apr 1996
Volume 11, Issue 1 - Jan 1996
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1
REDUCTIONS OF IDEALS IN COMMUTATIVE NOETHERIAN SEMI-LOCAL RINGS
Song, Yeong-Moo ; Kim, Se-Gyeong ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 539~546
Abstract
The purpose of this paper is to show that the Noetherian semi-local property of the underlying ring enables us to develope a setisfactory concep of the theory of reduction of ideals in a commutative Noetherian ring.
2
COVERING GROUPS IN THE THEORY OF GROUP REPRESENTATION
Choi, Eun-Mi ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 547~555
Abstract
In this paper, we shall study the generalized covering group which plays a role for Schur multiplier. We discuss the lifting property over covering group and product of covering groups.
3
PRIMITIVE ORE EXTENSIONS OVER SPECIAL MATRIX RINGS
Jang Ho Chun ; June Won Park ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 557~562
Abstract
We find an equivalent condition of
to be primitive and characterize a special subring P of
. Also, we find an equivalent condition of
to be primitive.
4
RAMIFICATION OF PRIME IDEALS IN THE DIHEDRAL OCTIC EXTENSION OVER Q
Kwon, Soun-Hi ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 563~568
Abstract
In this paper we study the ramification of prime ideals in the dihedral octic extension N over Q and estimate the possible discriminants of the octic number field N.
5
Chow groups on complete regular local rings II
Si Chang Lee ; Kyu Bum Hwang ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 569~573
Abstract
We study some special cases of Chow groups of a ramified complete regular local ring R of dimension n. We prove that (a) for codimension 3 Gorenstein ideal I, [I] = 0 in
and (b) for a particular class of almost complete intersection prime ideals P of height i, [P] = 0 in
.
6
Code automorphism group algorithms and applications
Cho, Han-Hyuk ; Shin, Hye-Sun ; Yeo, Tae-Kyung ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 575~584
Abstract
We investigate how the code automorphism groups can be used to study such combinatorial objects as codes, finite projective planes and Hadamard matrices. For this purpose, we write down a computer program for computing code automorphisms in PASCAL language. Then we study the combinatorial properties using those code automorphism group algorithms and the relationship between combinatorial objects and codes.
7
Excisions in hermitian K-theory
Song, Yong-Jin ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 585~593
Abstract
We make the definition of hermitian K-theory for nonunital rings which makes as many senses as possible. We next show that the excision property in rational hermitian K-theory implies the nullity of rational
-homology which is the antisymmetric part of Bar homology.
8
On deductive systems of hilbert algebras
Hong, Sung-Min ; Jun, Young-Bae ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 595~600
Abstract
We give a characterization of a deductive system. We introduce the concept of maximal deductive systems and show that every bounded Hilbert algebra with at least two elements contains at least one maximal deductive system. Moreover, we introduce the notion of radical and semisimple in a Hilbert algebra and prove that if H is a bounded Hilbert algebra in which every element is an involution, then H is semisimple.
9
On weakly associative BCI-algebras
Wang, Y.Q. ; Wei, S.N. ; Jun, Y.B. ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 601~611
Abstract
In this paper, we introduce the notion of weakly associative BCI-algebras and investigate structure of it. Some of characterizations of elements of the quasi-associative part Q(X) of a BCI-algebra X are shown.
10
Property of lattice on lattice varieties I
Kang, Young-Yug ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 613~626
Abstract
This paper is a contribution to the study of the properties of the lattice of all lattice varieties. Among the properties, that of finite base is investigated here. The question whether the join of two finitely based modular lattice varieties is finitely based is investigated under certain conditions.
11
Monomial curves which are set-theoretic complete intersections
Keum, J.H. ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 627~631
Abstract
We prove that some monomial curves are set-theoretic complete intersection of two surfaces. We also give explicity the equations of corresponding surfaces.
12
On the partition of unipotent radicals of parabolic subgroups in chevalley groups
Kwon, Sae-Ran ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 633~641
Abstract
Let $P_J$ be a standard parabolic subgroup of a Chevalley group G and
the unipotent radical of
. In this paper, we find a certain partition of the set of roots corresponding to root subgroups generating $U_J$ and investigate some properties of the partition.
13
On gardener's problem
Park, Dae-Yeon ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 649~655
Abstract
A positive, disjoint linear map
of
-algebras preserves absolute values if any *-anti-homomorphism $\psi : A \to B$ is skew-hermitian with respect to every commutators of unitary elements.
14
Spectral mapping theorem and Weyl's theorem
Yang, Young-Oh ; Lee, Jin-A ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 657~663
Abstract
In this paper we give some conditions under which the Weyl spectrum of an operator satisfies the spectral mapping theorem for analytic functions. Also we show that Weyl's theorem holds for p(T) where T is an operator of M-power class (N) and p is a polynomial on a neighborhood of
. Finally we answer an old question of Oberai.
15
Some properties of the set of schwarzians of conformal functions
Jong Su An ; Tai Sung Song ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 665~672
Abstract
Let U denote the set of all Schwarzian derivatives
of conformal function f in the unit disk D. We show that if $S_f$ is a local extreme point of U, then f cannot omit an open set. We also show that if
is an extreme point of the closed convex hull
of U, then f cannot omit a set of positive area. The proof of this uses Nguyen's theorem.
16
On M-ideal properties of certain spaces of compact operators
Cho, Chong-Man ; Kim, Beom-Sool ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 673~680
Abstract
It is proved that
is an M-ideal in
if Y is a closed subspace of
. And a new direct proof of the fact that
is not an M-ideal in
is given.
17
On the iteration of holomorphic mappings in $ $
Kwon, Oh-Nam ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 681~694
Abstract
Let F be a germ of analytic transformation from
to
. Let a, b denote the eigenvalues of DF(O). O is called a semi-attrative fixed point if $
a
= 1, 0 <
b
< 1 = 1, 0 <
a
< 1)$. O is called a super-attractive fixed point if a = 0, b = 0. We discuss such a mapping from the point of view of dynamical systems.
18
On the continuity of the map induced by scalar-input control system
Shin, Chang-Eon ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 695~706
Abstract
In the control system
this paper shows that the map from u with
-topology to
with
-topology is Lipschitz continuous where f is
,
is the Stieltjes measure derived from the function g which is not smooth in the variable t and $x_u$ is the solution of the above system corresponding to u under the assumption that
is bounded.
19
Convolution product and generalized analytic Fourier-Feynman transforms
Chang, Seung-Jun ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 707~723
Abstract
We first define the concept of the generalized analytic Fourier-Feynman transforms of a class of functionals on function space induced by a generalized Brownian motion process and study of functionals which plays on important role in physical problem of the form
where f is a complex-valued function on
. We next show that the generalized analytic Fourier-Feynman transform of the convolution product is a product of generalized analytic Fourier-Feynman transform of functionals on functin space.
20
Some results on metric fixed point theory and open problems
Kim, Tae-Hwa ; Park, Kyung-Mee ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 725~742
Abstract
In this paper we give some sharp expressions of the weakly convergent sequence coefficient WCS(X) of a Banach space X. They are used to prove fixed point theorems for involution mappings T from a weakly compact convex subset C of a Banach space X with WCS(X) > 1 into itself which
are both of asymptotically nonexpansive type and weakly asymptotically regular on C. We also show that if X satisfies the semi-Opial property, then every nonexpansive mapping
has a fixed point. Further, some questions for asymtotically nonexpansive mappings are raised.
21
On generic submanifolds of a complex projective space
Seong Baek Lee ; Seung Gook Han ; Nam Gil Kim ; Seong Soo Ahn ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 743~756
Abstract
The purpose of this paper is to compute the covariant derivative of a shape operator of a generic submanifold of a complex space form without using the Green-Stoke's theorem. In particular, we classify complete generic submanifolds of a complex number space $C^m$ with parallel mean curvature vector satisfying a certain condition.
22
On real hypersurfaces of a complex space form in terms of the Ricci tensor
Lee, Seong-Baek ; Han, Seung-Gook ; Kim, Nam-Gil ; Ahn, Seong-Soo ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 757~766
Abstract
The purpose of this paper is to study a real hypersurface of $M_n(c)$ where structure vector $\zeta$ is principal and satisfying $\bigtriangledown_\zeta S = (\bigtriangledown S)\zeta$ (section 2) and also satisfying $\bigtriangledown_\zeta S = a(S \phi - \phi S)$ (section 3) where a is constant.
23
Some vanishing theorems on K$ddot{a}$hler foliations
Jung, Seoung-Dal ; Pak, Jin-Suk ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 767~781
Abstract
We shall prove some vanishing theorems for the tranversal Dirac operators on
hler foliations.
24
On causality in a space-time
Kim, Jin-Hwan ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 783~788
Abstract
We study some causality characterizations in a space-time by considering chronological common future (or past) sets and indecomposable sets that are important roles in studying causal boundary structure of the space-time.
25
Harmonic maps into open manifolds with nonnegative curvature
Kim, Young-Heon ; Yim, Jin-Whan ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 789~796
Abstract
A complete open manifold with nonnegative curvature is diffeomorphic to the normal bundle of the soul, and the projection map is a Riemannian submersion. Under certain circumstances, we prove that a harmonic map from a compact manifold followed by the projection is again harmonic. Therefore we obtain a harmonic map onto the soul when there is a harmonic map into an open manifold.
26
An application of least area surfaces to 3-manifolds
Moon, Myoung-Ho ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 797~805
Abstract
We provide a new proof of the following fact using least area surfaces : If the fundamental group of a
-irreducible closed 3-manifold M contains a finitely generated nontrivial normal subgroup of infinite index, then M has a finite cover which is a closed surface bundle over
, unless N is free.
27
Homotopical triviality of entire rational maps to even dimensional spheres
Suh, Dong-Youp ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 807~814
Abstract
Let $G = Z_2$. Let X be any compact connected orientable nonsingular real algebraic variety of dim X = k = odd with the trivial G action, and let Y be the unit sphere
with the antipodal action of G. Then we prove that any G invariant entire rational map
is G homotopically trivial. We apply this result to prove that any entire rational map
is homotopically trivial.
28
The kontsevich conjecture on mapping class groups
Hong, Sung-Bok ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 815~823
Abstract
M. Kontsevich posed a problem on mapping class groups of 3-manifold that is if M is a compact 3-manifold with nonempty boundary, then BDiff (M rel
M) has the homotopy type of a finite complex. Here, Diff (M rel
M) is the group of diffeomorphisms of M which restrict to the identity on
M, and BDiff (M rel
M) is its classifying space. In this paper we resolve the problem affirmatively in the case when M is a Haken 3-manifold.
29
A property of surface groups
Moon, Myoung-Ho ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 825~829
Abstract
We prove that if G is the fundamental group of a closed surface or a Seifert fibered space and K is a finitely generated subgroup of G, and if for any element g in G there exists an integer
such that
belongs to K, then K is of finite index in G.
30
A weakly dependence concepts of bivariate stochastic processes
Choi, Jeong-Yeol ; Baek, Jong-Il ; Youn, Eun-Ho ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 831~839
Abstract
In the last years there has been growing interest in concepts of positive (negative) dependence of stochastic processes such that concepts are considerable us in deriving inequalities in probability and statistics. Lehmann [7] introduced various concepts of positive(negative) dependence in the bivariate case. Stronger notions of bivariate positive(negative) dependence were later developed by Esary and Proschan [6]. Ahmed et al.[2], and Ebrahimi and Ghosh[5] obtained multivariate versions of various positive(negative) dependence as described by Lehmann[7] and Esary and Proschan[6]. Concepts of positive(negative) dependence for random variables have subsequently been extended to stochastic processes in different directions by many authors.
31
Estimation for the derivatives of mean performance measures in a Markovian queue with batch arrivals
Park, Heung-Sik ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 841~853
Abstract
This article finds smoothed perturbation analysis estimates for the derivatives of mean performance measures in a Markovian queue with batch arrivals. We show that those estimates can be observed from a single sample path.
32
Weak convergence of processes in a generalized Curie-Weiss model and its dual
Sang Ho Lee ; Jong Woo Jeon ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 855~865
Abstract
In this paper, we establish the weak convergences of processes occurring in a generalized Curie-Weiss model and its dual.
33
Numerical solution of linear elasticity by preconditioning cubic spline collocation
Lee, Yong-Hun ;
Communications of the Korean Mathematical Society, volume 11, issue 3, 1996, Pages 867~880
Abstract
Numerical approximations to the linear elasticity are traditionally based on the finite element method. In this paper we propose a new formulation based on the cubic spline collocation method for linear elastic problem on the unit square. We present several numerical results for the eigenvalues of the matrix represented by cubic collocation method and preconditioner matrix which is preconditioned by FEM and FDM. Finally we present the numerical solution for some example equation.