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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 20, Issue 4 - Oct 2005
Volume 20, Issue 3 - Jul 2005
Volume 20, Issue 2 - Apr 2005
Volume 20, Issue 1 - Jan 2005
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1
양의 단면 곡률을 가지는 컴팩트 공간에 대하여
;
;
Communications of the Korean Mathematical Society, volume 20, issue 2, 2005, Pages 195~207
DOI : 10.4134/CKMS.2005.20.2.195
Abstract
2
ON TOR-TORSION THEORIES
GOLRIZ M. ; BIJANZADEH M. H. ;
Communications of the Korean Mathematical Society, volume 20, issue 2, 2005, Pages 209~219
DOI : 10.4134/CKMS.2005.20.2.209
Abstract
Tor-torsion theory was defined by Jan Trlifaj in 2000. In this paper we introduce the notion of Co envelopes, CoCovers and Tor-generators as dual of envelopes, covers and generators in cotorsion(Ext-torsion) theory and deduce that each R-module has a projective and a cotorsion coprecover.
3
ON DIRECT SUMS IN BOUNDED BCK-ALGEBRAS
HUANG YISHENG ;
Communications of the Korean Mathematical Society, volume 20, issue 2, 2005, Pages 221~229
DOI : 10.4134/CKMS.2005.20.2.221
Abstract
In this paper we consider the decompositions of subdirect sums and direct sums in bounded BCK-algebras. The main results are as follows. Given a bounded BCK-algebra X, if X can be decomposed as the subdirect sum
of a nonzero ideal family
of X, then I is finite, every
is bounded, and X is embeddable in the direct sum
; if X is with condition (S), then it can be decomposed as the subdirect sum
if and only if it can be decomposed as the direct sum
; if X can be decomposed as the direct sum
, then it is isomorphic to the direct product
.
4
THE MASS FORMULA OF ORDERS OVER A DYADIC LOCAL FIELD
JUN, SUNG-TAE ; KIM, IN-SUK ;
Communications of the Korean Mathematical Society, volume 20, issue 2, 2005, Pages 231~238
DOI : 10.4134/CKMS.2005.20.2.231
Abstract
In this paper, we study the arithmetic properties of orders in a quaternion algebra over a dyadic local field and we find the mass formula of orders.
5
ON THE GENUS OF CERTAIN DRINFELD MODULAR CURVES
KIM, CHANG-HEON ; JEON, DAE-YEOL ;
Communications of the Korean Mathematical Society, volume 20, issue 2, 2005, Pages 239~246
DOI : 10.4134/CKMS.2005.20.2.239
Abstract
We determine the genera of the Drinfeld modular curves
.
6
EXPLICIT EVALUATIONS OF SPECIAL MULTIPLE ZETA VALUES, ζ({4l+2}
_{n}
) AND ζ({4l}
_{n}
)
SON, JIN-WOO ; JANG, DOUK-SOO ;
Communications of the Korean Mathematical Society, volume 20, issue 2, 2005, Pages 247~257
DOI : 10.4134/CKMS.2005.20.2.247
Abstract
In this paper we calculate two special types of multiple zeta values,
using the primitive roots of unity, which may be simpler and easier.
7
DETERMINATION OF ALL SUBFIELDS OF CYCLOTOMIC FUNCTION FIELDS WITH GENUS ONE
JUNG, HWAN-YUP ; AHN, JAE-HYUN ;
Communications of the Korean Mathematical Society, volume 20, issue 2, 2005, Pages 259~273
DOI : 10.4134/CKMS.2005.20.2.259
Abstract
In this paper we determine all subfields with genus one of cyclotomic function fields over rational function fields explicitly.
8
THE MINIMAL FREE RESOLUTION OF CERTAIN DETERMINANTAL IDEA
CHOI, EUN-J. ; KIM, YOUNG-H. ; KO, HYOUNG-J. ; WON, SEOUNG-J. ;
Communications of the Korean Mathematical Society, volume 20, issue 2, 2005, Pages 275~290
DOI : 10.4134/CKMS.2005.20.2.275
Abstract
Let
be the polynomial ring over a noetherian commutative ring R and
be the determinantal ideal generated by the
minors of the generic matrix
. We describe a minimal free resolution of
, in the case m = n = p + 2 over
.
9
THE STRONG PERRON INTEGRAL IN THE n-DIMENSIONAL SPACE ℝ
^{n}
PARK, JAE-MYUNG ; KIM, BYUNG-MOO ; LEE, DEUK-HO ;
Communications of the Korean Mathematical Society, volume 20, issue 2, 2005, Pages 291~297
DOI : 10.4134/CKMS.2005.20.2.291
Abstract
In this paper, we introduce the SP-integral and the
defined on an interval in the n-dimensional Euclidean space
. We also investigate the relationship between these two integrals.
10
RANDOM FIXED POINT THEOREMS AND LERAY-SCHAUDER ALTERNATIVES FOR U
_{c}
^{k}
MAPS
AGARWAL RAVI P. ; REGAN DONAL O ;
Communications of the Korean Mathematical Society, volume 20, issue 2, 2005, Pages 299~310
DOI : 10.4134/CKMS.2005.20.2.299
Abstract
This paper presents new random fixed point theorems for
maps and new random Leray-Schauder alternatives for
type maps. Our arguments rely on recent deterministic fixed point theorems and on a result on hemicompact maps in the literature.
11
SENSITIVITY ANALYSIS OF SOLUTIONS FOR PARAMETRIC NONLINEAR IMPLICIT QUASIVARIATIONAL INCLUSIONS
WANG WEILI ; LIU ZEQING ; KANG SHIN MIN ;
Communications of the Korean Mathematical Society, volume 20, issue 2, 2005, Pages 311~319
DOI : 10.4134/CKMS.2005.20.2.311
Abstract
In this paper we introduce a new class of parametric nonlinear implicit quasivariational inclusions and obtain some results about the existence and sensitivity analysis of solutions for this kind of quasivariational inclusions.
12
ON THE STABILITY OF FUNCTIONAL EQUATIONS IN n-VARIABLES AND ITS APPLICATIONS
KIM, GWANG-HUI ;
Communications of the Korean Mathematical Society, volume 20, issue 2, 2005, Pages 321~338
DOI : 10.4134/CKMS.2005.20.2.321
Abstract
In this paper we investigate a generalization of the Hyers-Ulam-Rassias stability for a functional equation of the form
, where X lie in n-variables. As a consequence, we obtain a stability result in the sense of Hyers, Ulam, Rassias, and Gavruta for many other equations such as the gamma, beta, Schroder, iterative, and G-function type's equations.
13
INEQUALITIES FOR THE INTEGRAL MEANS OF HOLOMORPHIC FUNCTIONS IN THE STRONGLY PSEUDOCONVEX DOMAIN
CHO, HONG-RAE ; LEE, JIN-KEE ;
Communications of the Korean Mathematical Society, volume 20, issue 2, 2005, Pages 339~350
DOI : 10.4134/CKMS.2005.20.2.339
Abstract
We obtain the following two inequalities on a strongly pseudoconvex domain
. In [9], Shi proved these results for the unit ball in
. These are generalizations of some classical results of Hardy and Littlewood.
14
ON ASYMPTOTIC PROPERTY FOR NONLINEAR DIFFERENCE SYSTEMS
CHOI, UNG-KYU ; KOO, NAM-JIP ; IM, DONG-MAN ;
Communications of the Korean Mathematical Society, volume 20, issue 2, 2005, Pages 351~358
DOI : 10.4134/CKMS.2005.20.2.351
Abstract
We study asymptotic equivalence between nonlinear difference system
and its variational system
.
15
CHARACTERIZATION OF PHANTOM GROUPS
LEE, DAE-WOONG ;
Communications of the Korean Mathematical Society, volume 20, issue 2, 2005, Pages 359~364
DOI : 10.4134/CKMS.2005.20.2.359
Abstract
We give another characteristic feature of the set of phantom maps: After constructing an isomorphism between derived functors, we show that the set of homotopy classes of phantom maps could be restated as the extension product of subinverse towers induced by the given inverse towers.
16
TOPOLOGICAL PRESSURE OF CONTINUOUS FLOWS WITHOUT FIXED POINTS
LEE, KYUNG-BOK ;
Communications of the Korean Mathematical Society, volume 20, issue 2, 2005, Pages 365~379
DOI : 10.4134/CKMS.2005.20.2.365
Abstract
The purpose of this paper is to correct erroneous proofs of theorems of He, Lu, Wang and Zheng [1] about the topological pressure of continuous flows without fixed points and to give proofs of some results which are stated in the literature without proofs and thereby to show that their theorems are still true.
17
LARGE DEVIATION PRINCIPLE FOR DIFFUSION PROCESSES IN A CONUCLEAR SPACE
CHO, NHAN-SOOK ;
Communications of the Korean Mathematical Society, volume 20, issue 2, 2005, Pages 381~393
DOI : 10.4134/CKMS.2005.20.2.381
Abstract
We consider a type of large deviation principle obtained by Freidlin and Wentzell for the solution of Stochastic differential equations in a conuclear space. We are using exponential tail estimates and exit probability of a Ito process. The nuclear structure of the state space is also used.
18
THREE-TERM CONTIGUOUS FUNCTIONAL RELATIONS FOR BASIC HYPERGEOMETRIC SERIES
_{2}
φ
_{1}
KIM, YONG-SUP ; RATHIE ARJUN K. ; CHOI, JUNE-SANG ;
Communications of the Korean Mathematical Society, volume 20, issue 2, 2005, Pages 395~403
DOI : 10.4134/CKMS.2005.20.2.395
Abstract
The authors aim mainly at giving fifteen three-term contiguous relations for the basic hypergeometric series
corresponding to Gauss's contiguous relations for the hypergeometric series
given in Rainville([6], p.71). They also apply them to obtain two summation formulas closely related to a known q-analogue of Kummer's theorem.
19
MODIFICATION TO A BOUND FOR RANDOM ERROR CORRECTION WITH LEE WEIGHT
JAIN SAPNA ;
Communications of the Korean Mathematical Society, volume 20, issue 2, 2005, Pages 405~409
DOI : 10.4134/CKMS.2005.20.2.405
Abstract
In [1], Sharma and Goel obtained a bound for random error correcting codes with Lee weight considerations. The purpose of this paper is to first point out a discrepancy in this result and then give a correct version of the same, improving upon the bound tremendously.