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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 21, Issue 4 - Oct 2006
Volume 21, Issue 3 - Jul 2006
Volume 21, Issue 2 - Apr 2006
Volume 21, Issue 1 - Jan 2006
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1
ON THE AXIOM OF CHOICE OF WEAK TOPOS Fuz
Kim Ig-Sung ;
Communications of the Korean Mathematical Society, volume 21, issue 2, 2006, Pages 211~217
DOI : 10.4134/CKMS.2006.21.2.211
Abstract
Topos is a set-like category. In topos, the axiom of choice can be expressed as (AC1), (AC2) and (AC3). Category Fuz of fuzzy sets has a similar function to the topos Set and it forms weak topos. But Fuz does not satisfy (AC1), (AC2) and (AC3). So we define (WAC1), (WAC2) and (WAC3) in weak topos Fuz. And we show that they are equivalent in Fuz.
2
FACTOR RANK COMPARISONS OF MATRICES OVER TWO RELATED SEMIRINGS
Song Seok-Zun ;
Communications of the Korean Mathematical Society, volume 21, issue 2, 2006, Pages 219~226
DOI : 10.4134/CKMS.2006.21.2.219
Abstract
We consider matrices whose entries can be viewed as elements of both nonnegative integers and nonnegative rational numbers. We determine the differences of factor rank of matrices over the two semirings.
3
DERIVATIONS OF A RESTRICTED WEYL TYPE ALGEBRA ON A LAURENT EXTENSION
Choi Seul-Hee ;
Communications of the Korean Mathematical Society, volume 21, issue 2, 2006, Pages 227~236
DOI : 10.4134/CKMS.2006.21.2.227
Abstract
Several authors find all the derivations of an algebra [1], [3], [7]. A Weyl type non-associative algebra and its sub algebra are defined in the paper [2], [3], [10]. All the derivations of the non-associative algebra
is found in this paper [4]. We find all the derivations of the non-associative algebra
in this paper [5].
4
ITERATIVE APPROXIMATIONS OF ZEROES FOR ACCRETIVE OPERATORS IN BANACH SPACES
Cho Yeol-Je ; Zhou Haiyun ; Kim Jong-Kyu ;
Communications of the Korean Mathematical Society, volume 21, issue 2, 2006, Pages 237~251
DOI : 10.4134/CKMS.2006.21.2.237
Abstract
In this paper, we introduce and study a new iterative algorithm for approximating zeroes of accretive operators in Banach spaces.
5
A CHARACTERIZATION OF LOCAL RESOLVENT SETS
Han Hyuk ; Yoo Jong-Kwang ;
Communications of the Korean Mathematical Society, volume 21, issue 2, 2006, Pages 253~259
DOI : 10.4134/CKMS.2006.21.2.253
Abstract
Let T be a bounded linear operator on a Banach space X. And let
be the local resolvent set of T at
. Then we prove that a complex number
belongs to
if and only if there is a sequence
in X such that
for n = 0, 1, 2,...,
= x and
is bounded.
6
ON A GENERALIZED DIFFERENCE SEQUENCE SPACES DEFINED BY A MODULUS FUNCTION AND STATISTICAL CONVERGENCE
Bataineh Ahmad H.A. ;
Communications of the Korean Mathematical Society, volume 21, issue 2, 2006, Pages 261~272
DOI : 10.4134/CKMS.2006.21.2.261
Abstract
In this paper, we define the sequence spaces:
, where E is any Banach space, and u = (
) be any sequence such that
for any k , examine them and give various properties and inclusion relations on these spaces. We also show that the space
may be represented as a
space. These are generalizations of those defined and studied by M. Et., Y. Altin and H. Altinok [7].
7
AN EXTENSION OF GENERALIZED VECTOR QUASI-VARIATIONAL INEQUALITY
Kum Sang-Ho ; Kim Won-Kyu ;
Communications of the Korean Mathematical Society, volume 21, issue 2, 2006, Pages 273~285
DOI : 10.4134/CKMS.2006.21.2.273
Abstract
In this paper, we shall give an affirmative answer to the question raised by Kim and Tan [1] dealing with generalized vector quasi-variational inequalities which generalize many existence results on (VVI) and (GVQVI) in the literature. Using the maximal element theorem, we derive two theorems on the existence of weak solutions of (GVQVI), one theorem on the existence of strong solution of (GVQVI), and one theorem on strong solution in the 1-dimensional case.
8
A CHARACTERIZATION OF BLOCH FUNCTIONS
Kwon Ern-Gun ; Shim Ok-Hee ; Bae Eun-Kyu ;
Communications of the Korean Mathematical Society, volume 21, issue 2, 2006, Pages 287~292
DOI : 10.4134/CKMS.2006.21.2.287
Abstract
On the unit disk of the complex plane, a characterization of Bloch function is expressed extending known result.
9
LONG-TIME PROPERTIES OF PREY-PREDATOR SYSTEM WITH CROSS-DIFFUSION
Shim Seong-A ;
Communications of the Korean Mathematical Society, volume 21, issue 2, 2006, Pages 293~320
DOI : 10.4134/CKMS.2006.21.2.293
Abstract
Using calculus inequalities and embedding theorems in
, we establish
-estimates for the solutions of prey-predator population model with cross-diffusion and self-diffusion terms. Two cases are considered; (i)
, and (ii) $0\;<\;{\alpha}_{21}\;<\;8_{\alpha}_{11},\;0\;<\;{\alpha}_{12}\;<\;8_{\alpha}_{22}$. It is proved that solutions are bounded uniformly pointwise, and that the uniform bounds remain independent of the growth of the diffusion coefficient in the system. Also, convergence results are obtained when
via suitable Liapunov functionals.x渇Ἅᘵ⠀ጀ䩁䭏ㄹ㤵ㄱ㤱㤸㤲㤲㎀쀂x済ሂሺ⠀ጀ䩁䭏㈰〷〷㌴ㄵ㤱ㄹ㊀쀃x済ᜒ㜇⠀ጀ䩁䭏㈰〸㈶㠶㈶㠱㐲㞀쀃x済ᬌⴓ⠀ጀ䩁䭏㈰〹ㄹ㐶㐰ㄲ㘸㒀쀂x済ᨆ؟⠀ጀ䩁䭏㈰〴ㄷㄴ〹ㄹ㌷㦀쀂x済ᨌО⠀ጀ䩁䭏㈰〲ㄱ㤲ㄳ㐴㘶ㆀ쀁x渇Ἅ⠀ጀ䩁䭏ㄹ㠲〳〴ㄸ㠵㜷㚀쀄x済ؘġༀ逑榗⨀⾗⨀>㒗⨀増⨀㣯斗⨀溗⨀䡿澗⨀ꂐ沗⨀젛炗⨀킮㊗⨀쁙䲗⨀‒榗⨀ꁒ誗⨀㢙㊗⨀⨀〉莗⨀⡗㆗⨀⠀ጀ䩁䭏㈰〸㜳㜰㐲㐱㒀쀂x済Їᰶ⠀ጀ䩁䭏㈰〸㌱㈳㔴㔲㈷ㆀ쀂x済ؔ㜆⠀ጀ䩁䭏㈰〸〹㤰㘴㐷㌵ㆀ쀁x渇Ἅ⤄⠀ጀ䩁䭏㈰〲〳〴㈱㐵㐵㎀쀆x済ᰍ⼋ఀ灯膗⨀쁉⾗⨀硱莗⨀�㦗⨀颭㾗⨀⡗媗⨀롊羗⨀䃗玗⨀p膗⨀栟纗⨀〙䶗⨀辗⨀傴讗⨀A㒗⨀⢡㶗⨀䢟羗⨀碚㒗⨀⠀ጀ䩁䭏㈰〸㌴㜵㌰㠸㐴む쀇x済ḍ㰡⠀ጀ䩁䭏㈰〵ㄱ㜲㈵㔳㜰㞀쀄x済Ԇἢ⠀ጀ䩁䭏㈰〴㌰㜱〴㘶㠶㢀쀁x渇Ἅ㠑⠀ጀ䩁䭏㈰〳ㄱ㤲ㄸ㠳㠶㚀쀁x渇Ἅ㠬⠀ጀ䩁䭏㈰〸㌵〶㈴㜴㐵ㆀ쀁x渇Ἅ㠻⠀ጀ䩁䭏㈰〲ㄱ㤲ㄲ㜴㜹㚀쀃x済ँ㰼⠀ጀ䩁䭏㈰〳ㄱ㤲ㄹ㜵㌱㦀쀁x渇Ἅ㤚⠀ጀ䩁䭏㈰〴ㄱ㤲㈰㈲ㄴむ쀁x渇Ἅ㨉⠀ጀ䩁䭏㈰〵〳〱㠲㤴㐶
10
ON GENERIC SUBMANIFOLDS OF MANIFOLDS EQUIPPED WITH A HYPERCOSYMPLECTIC 3-STRUCTURE
Kim Jeong-Sik ; Choi Jae-Dong ; Tripathi Mukut Mani ;
Communications of the Korean Mathematical Society, volume 21, issue 2, 2006, Pages 321~335
DOI : 10.4134/CKMS.2006.21.2.321
Abstract
Generic submanifolds of a Riemannian manifold endowed with a hypercosymplectic 3-structure are studied. Integrability conditions for certain distributions on the generic submanifold are discussed. Geometry of leaves of certain distributions are also studied.
11
THE ACTION OF IMAGE OF BRAIDING UNDER THE HARER MAP
Song Yong-Jin ;
Communications of the Korean Mathematical Society, volume 21, issue 2, 2006, Pages 337~345
DOI : 10.4134/CKMS.2006.21.2.337
Abstract
John Harer conjectured that the canonical map from braid group to mapping class group induces zero homology homomorphism. To prove the conjecture it suffices to show that this map preserves the first Araki-Kudo-Dyer-Lashof operation. To get information on this homology operation we need to investigate the image of braiding under the Harer map. The main result of this paper is to give both algebraic and geometric interpretations of the image of braiding under the Harer map. For this we need to calculate long chains of consecutive actions of Dehn twists on the fundamental group of surface.
12
MINIMAL BASICALLY DISCONNECTED COVERS OF PRODUCT SPACES
Kim Chang-Il ;
Communications of the Korean Mathematical Society, volume 21, issue 2, 2006, Pages 347~353
DOI : 10.4134/CKMS.2006.21.2.347
Abstract
In this paper, we show that if the minimal basically disconnected cover
is given by the space of fixed a
-ultrafilters on
is a basically disconnected space, then
is the minimal basically disconnected cover of
. Moreover, observing that the product space of a P-space and a countably locally weakly Lindelof basically disconnected space is basically disconnected, we show that if X is a weakly Lindelof almost P-space and Y is a countably locally weakly Lindelof space, then (
) is the minimal basically disconnected cover of
.
13
AVERAGE SHADOWING PROPERTIES ON COMPACT METRIC SPACES
Park Jong-Jin ; Zhang Yong ;
Communications of the Korean Mathematical Society, volume 21, issue 2, 2006, Pages 355~361
DOI : 10.4134/CKMS.2006.21.2.355
Abstract
We prove that if a continuous surjective map f on a compact metric space X has the average shadowing property, then every point x is chain recurrent. We also show that if a homeomorphism f has more than two fixed points on
, then f does not satisfy the average shadowing property. Moreover, we construct a homeomorphism on a circle which satisfies the shadowing property but not the average shadowing property. This shows that the converse of the theorem 1.1 in [6] is not true.
14
THE BIVARIATE F
_{3}
-BETA DISTRIBUTION
Nadarajah Saralees ;
Communications of the Korean Mathematical Society, volume 21, issue 2, 2006, Pages 363~374
DOI : 10.4134/CKMS.2006.21.2.363
Abstract
A new bivariate beta distribution based on the Appell function of the third kind is introduced. Various representations are derived for its product moments, marginal densities, marginal moments, conditional densities and conditional moments. The method of maximum likelihood is used to derive the associated estimation procedure as well as the Fisher information matrix.
15
A STUDY ON SOME PERIODIC TIME VARYING BILINEAR MODEL
Ha Seung-Yeon ; Lee Oe-Sook ;
Communications of the Korean Mathematical Society, volume 21, issue 2, 2006, Pages 375~384
DOI : 10.4134/CKMS.2006.21.2.375
Abstract
We consider a class of bilinear models with periodic regime switching and find easy-to-check sufficient conditions that ensures the existence of a stationary process obtained from given difference equation. Existence of a higher order moments is examined.
16
ON THE EXPONENTIAL FUZZY PROBABILITY
Yun Yong-Sik ; Song Jae-Choong ; Ryu Sang-Uk ;
Communications of the Korean Mathematical Society, volume 21, issue 2, 2006, Pages 385~395
DOI : 10.4134/CKMS.2006.21.2.385
Abstract
We study the exponential fuzzy probability for quadratic fuzzy number and trigonometric fuzzy number defined by quadratic function and trigonometric function, respectively. And we calculate the exponential fuzzy probabilities for fuzzy numbers driven by operations.
17
POLYNOMIAL-FITTING INTERPOLATION RULES GENERATED BY A LINEAR FUNCTIONAL
Kim Kyung-Joong ;
Communications of the Korean Mathematical Society, volume 21, issue 2, 2006, Pages 397~407
DOI : 10.4134/CKMS.2006.21.2.397
Abstract
We construct polynomial-fitting interpolation rules to agree with a function f and its first derivative f' at equally spaced nodes on the interval of interest by introducing a linear functional with which we produce systems of linear equations. We also introduce a matrix whose determinant is not zero. Such a property makes it possible to solve the linear systems and then leads to a conclusion that the rules are uniquely determined for the nodes. An example is investigated to compare the rules with Hermite interpolating polynomials.