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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 :
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
ORDER-CONGRUENCES ON S-POSETS
XIE XIANG-YUN ; SHI XIAOPING ;
Communications of the Korean Mathematical Society, volume 20, issue 1, 2005, Pages 1~14
DOI : 10.4134/CKMS.2005.20.1.001
Abstract
The aim of this paper is to study order-congruences on a S-poset A and to characterize the order-congruences by the concepts of pseudooreders on A and quasi-chains module a congruence p. Some homomorphism theorems of S-posets are given which is similar to the one of ordered semigroups. Finally, It is shown that there exists the non-trivial order-congruence on a S-poset by an example.
2
A NOTE ON NULL DESIGNS OF DUAL POLAR SPACES
CHO, SOO-JIN ;
Communications of the Korean Mathematical Society, volume 20, issue 1, 2005, Pages 15~21
DOI : 10.4134/CKMS.2005.20.1.015
Abstract
Null designs on the poset of dual polar spaces are considered. A poset of dual polar spaces is the set of isotropic subspaces of a finite vector space equipped with a nondegenerate bilinear form, ordered by inclusion. We show that the minimum number of isotropic subspaces to construct a nonzero null t-design is
for the types
, whereas for the case of type
, more isotropic subspaces are needed.
3
ON (α,β)-SKEW-COMMUTING AND (α,β)-SKEW-CENTRALIZING MAPS IN RINGS WITH LEFT IDENTITY
JUNG, YONG-SOO ; CHANG, ICK-SOON ;
Communications of the Korean Mathematical Society, volume 20, issue 1, 2005, Pages 23~34
DOI : 10.4134/CKMS.2005.20.1.023
Abstract
Let R be a ring with left identity. Let G :
be a symmetric biadditive mapping and g the trace of G. Let
be an endomorphism and
an epimorphism. In this paper we show the following: (i) Let R be 2-torsion-free. If g is (
)-skew-commuting on R, then we have G = 0. (ii) If g is (
)-skew-centralizing on R, then g is (
)-commuting on R. (iii) Let
. Let R be (n+1)!-torsion-free. If g is n-(
)-skew-commuting on R, then we have G = 0. (iv) Let R be 6-torsion-free. If g is 2-(
)-commuting on R, then g is (
)-commuting on R.
4
CORESTRICTION MAP ON BRAUER SUBGROUPS
CHOI, EUN-MI ;
Communications of the Korean Mathematical Society, volume 20, issue 1, 2005, Pages 35~49
DOI : 10.4134/CKMS.2005.20.1.035
Abstract
For an extension field K of k, a restriction homomorphism on Brauer k-group B(k) maps Brauer k-algebras to Brauer K- algebras by tensor product. A purpose of this work is to study the restriction map that sends radical (Schur) k-algebras to radical (Schur) K-algebras. And we ask an analogous question with respect to corestriction map on Brauer group B(K) that whether the corestriction map sends radical K-algebras to radical k-algebras.
5
BOUND FOR 2-EXPONENTS OF PRIMITIVE EXTREMAL MINISTRONG DIGRAPHS
LEE, SANG-GU ; YANG, JEONG-MO ;
Communications of the Korean Mathematical Society, volume 20, issue 1, 2005, Pages 51~62
DOI : 10.4134/CKMS.2005.20.1.051
Abstract
We consider 2-colored digraphs of the primitive ministrong digraphs having given exponents. In this paper we give bounds for 2-exponents of primitive extremal ministrong digraphs.
6
WEIGHTED COMPOSITION OPERATORS FROM BERGMAN SPACES INTO WEIGHTED BLOCH SPACES
LI SONGXIAO ;
Communications of the Korean Mathematical Society, volume 20, issue 1, 2005, Pages 63~70
DOI : 10.4134/CKMS.2005.20.1.063
Abstract
In this paper we study bounded and compact weighted composition operator, induced by a fixed analytic function and an analytic self-map of the open unit disk, from Bergman space into weighted Bloch space. As a corollary, obtain the characterization of composition operator from Bergman space into weighted Bloch space.
7
ISHIKAWA ITERATIVE SEQUENCE WITH ERRORS FOR φ-STRONGLY ACCRETIVE OPERATORS
LI, YOUNG-JIN ;
Communications of the Korean Mathematical Society, volume 20, issue 1, 2005, Pages 71~78
DOI : 10.4134/CKMS.2005.20.1.071
Abstract
In this paper, the iterative solution is studied for equation Tx = f with a uniformly continuous
-strongly accretive operators in arbitrary real Banach spaces. Our results extend, generalize and improve the corresponding results obtained by Zeng [11].
8
K-THEORY OF C*-ALGEBRAS OF LOCALLY TRIVIAL CONTINUOUS FIELDS
SUDO TAKAHIRO ;
Communications of the Korean Mathematical Society, volume 20, issue 1, 2005, Pages 79~92
DOI : 10.4134/CKMS.2005.20.1.079
Abstract
It is shown that the K-theory of the
-algebras of continuous fields on locally compact Hausdorff spaces with fibers elementary
-algebras is the same as the K-theory of the base spaces. We also consider the slightly generalized case. Furthermore, we give some applications of these results.
9
ON THE STABILITY OF THE GENERALIZED G-TYPE FUNCTIONAL EQUATIONS
KIM, GWANG-HUI ;
Communications of the Korean Mathematical Society, volume 20, issue 1, 2005, Pages 93~106
DOI : 10.4134/CKMS.2005.20.1.093
Abstract
In this paper, we obtain the generalization of the Hyers-Ulam-Rassias stability in the sense of Gavruta and Ger of the generalized G-type functional equations of the form
. As a consequence in the cases
, we obtain the stability theorem of G-functional equation : the reciprocal functional equation of the double gamma function.
10
A PICTURE OF KLEINIAN MODULAR GROUP
KIM, HONG-CHAN ;
Communications of the Korean Mathematical Society, volume 20, issue 1, 2005, Pages 107~116
DOI : 10.4134/CKMS.2005.20.1.107
Abstract
We show an algorithm to draw the famous picture of Kleinian modular group PSL(2,
), which appears in describing the moduli space of elliptic curves.
11
CONNECTEDNESS IN INTUITIONISTIC FUZZY TOPOLOGICAL SPACES
KIM, YONG-CHAN ; ABBAS S. E. ;
Communications of the Korean Mathematical Society, volume 20, issue 1, 2005, Pages 117~134
DOI : 10.4134/CKMS.2005.20.1.117
Abstract
We introduce the notion of (r,s)-connected sets in intuitionistic fuzzy topological spaces and investigate some properties of them. In particular, we show that every (r,s)-component in an intuitionistic fuzzy topological space is (r,s)-component in the stratification of it.
12
THE CLOSED PROPERTY OF SET OF SOLUTIONS FOR STOCHASTIC DIFFERENTIAL INCLUSIONS
YUN, YONG-SIK ;
Communications of the Korean Mathematical Society, volume 20, issue 1, 2005, Pages 135~144
DOI : 10.4134/CKMS.2005.20.1.135
Abstract
We consider the stochastic differential inclusion of the form
, where
, b are set-valued maps, B is a standard Brownian motion. We prove that the set of solutions is closed.
13
ROBUST TEST BASED ON NONLINEAR REGRESSION QUANTILE ESTIMATORS
CHOI, SEUNG-HOE ; KIM, KYUNG-JOONG ; LEE, MYUNG-SOOK ;
Communications of the Korean Mathematical Society, volume 20, issue 1, 2005, Pages 145~159
DOI : 10.4134/CKMS.2005.20.1.145
Abstract
In this paper we consider the problem of testing statistical hypotheses for unknown parameters in nonlinear regression models and propose three asymptotically equivalent tests based on regression quantiles estimators, which are Wald test, Lagrange Multiplier test and Likelihood Ratio test. We also derive the asymptotic distributions of the three test statistics both under the null hypotheses and under a sequence of local alternatives and verify that the asymptotic relative efficiency of the proposed test statistics with classical test based on least squares depends on the error distributions of the regression models. We give some examples to illustrate that the test based on the regression quantiles estimators performs better than the test based on the least squares estimators of the least absolute deviation estimators when the disturbance has asymmetric and heavy-tailed distribution.
14
ALMOST SURE CONVERGENCE FOR LINEAR PROCESS GENERATED BY ASYMPTOTICALLY LINEAR NEGATIVE QUADRANT DEPENDENCE PROCESSES
CAI, GUANG-HUI ;
Communications of the Korean Mathematical Society, volume 20, issue 1, 2005, Pages 161~168
DOI : 10.4134/CKMS.2005.20.1.161
Abstract
In this paper, we obtain strong law of large numbers for linear process generated by asymptotically linear negative quadrant dependence processes.
15
ON PREECE'S IDENTITY AND OTHER CONTIGUOUS RESULTS
CHOI, JUNE-SANG ; RATHIE ARJUN K. ; BHOJAK BHARTI ;
Communications of the Korean Mathematical Society, volume 20, issue 1, 2005, Pages 169~178
DOI : 10.4134/CKMS.2005.20.1.169
Abstract
Five results closely related to the well-known Preece's identity obtained earlier by Choi and Rathie will be derived here by using some known hypergeometric identities. In addition to this, the identities obtained earlier by Choi and Rathie have also been written in a compact form.
16
A HYBRID METHOD FOR HIGHER-ORDER NONLINEAR DIFFUSION EQUATIONS
KIM JUNSEOK ; SUR JEANMAN ;
Communications of the Korean Mathematical Society, volume 20, issue 1, 2005, Pages 179~193
DOI : 10.4134/CKMS.2005.20.1.179
Abstract
We present results of fully nonlinear time-dependent simulations of a thin liquid film flowing up an inclined plane. Equations of the type
arise in the context of thin liquid films driven by a thermal gradient with a counteracting gravitational force, where h = h(x, t) is the fluid film height. A hybrid scheme is constructed for the solution of two-dimensional higher-order nonlinear diffusion equations. Problems in the fluid dynamics of thin films are solved to demonstrate the accuracy and effectiveness of the hybrid scheme.