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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
선형보존자 문제들에 관한 연구
Song, Seok-Jun ;
Communications of the Korean Mathematical Society, volume 21, issue 4, 2006, Pages 595~612
DOI : 10.4134/CKMS.2006.21.4.595
Abstract
2
g등급 완전 아이디얼의 구조정리
Kang, Oh-Jin ; Ko, Hyeong-Jun ;
Communications of the Korean Mathematical Society, volume 21, issue 4, 2006, Pages 613~630
DOI : 10.4134/CKMS.2006.21.4.613
Abstract
3
ON BOUNDEDNESS FOR COMPLEX VALUED FUNCTIONS ON THE p-ADIC VECTOR SPACE
Kim, Min-Soo ; Son, Jin-Woo ;
Communications of the Korean Mathematical Society, volume 21, issue 4, 2006, Pages 631~640
DOI : 10.4134/CKMS.2006.21.4.631
Abstract
In this paper, we prove sufficient conditions of boundedness of maximal operators on the p-adic vector space. We also consider weighted Hardy-Littlewood averages on the p-adic vector space.
4
SOME REMARKS ON THE PRIMARY IDEALS OF ℤ
_{pm}
[X]
Woo, Sung-Sik ;
Communications of the Korean Mathematical Society, volume 21, issue 4, 2006, Pages 641~652
DOI : 10.4134/CKMS.2006.21.4.641
Abstract
In [2], they found some natural generators for the ideals of the finite ring
[X]/
, where p and n are relatively prime. If p and n are not relatively prime
is not a product of basic irreducible polynomials but a product of primary polynomials. Due to this fact, to consider the ideals of
[X]/
in 'inseparable' case we need to look at the primary ideals of
[X]. In this paper, we find a set of generators of ideals of
[X]/(f) for some primary polynomials f of
[X].돀飶�⨀肴�⨀䀈�⨀惾�⨀�덐烾�⨀�렄룹�⨀Ā蠉顏㒔Ā仒ﺿ缀ȀĀ砾җ⨀ꃻ�⨀젾җ⨀ꡠ⨀აⶓ硪̗లȀĀ�⨀Ѐ㠳җ⨀Ā恿ಗ⨀䄀ᠸҗ⨀骴쁗麴ࠀ̀硪̗లȀ뀵җ⨀ꀸҗ⨀Ā졝�⨀ၡ�⨀袨ɠ悸硛�⨀ꢇ媸섂돀想�⨀堘�⨀肴�⨀塤ಗ⨀餂돐D᪗⨀墵�⨀／ࠀ衤ಗ⨀夂덐栀 ⠀�䪓硪̗లȀĀ壽�⨀Ѐꣳ�⨀Āﲖ⨀䄀頲җ⨀骴쁗麴ࠀ̀硪̗లȀ�⨀″җ⨀Ā졝�⨀ၡ�⨀袨ɠ悸硛�⨀ꢇ媸�⨀
5
ROUGHNESS IN SUBTRACTION ALGEBRAS
Ahn, Sun-Shin ; Jun, Young-Bae ; Lee, Kyoung-Ja ;
Communications of the Korean Mathematical Society, volume 21, issue 4, 2006, Pages 653~664
DOI : 10.4134/CKMS.2006.21.4.653
Abstract
As a generalization of ideals in subtraction algebras, the notion of rough ideals is discussed.
6
A VARIANT OF THE GENERALIZED VECTOR VARIATIONAL INEQUALITY WITH OPERATOR SOLUTIONS
Kum, Sang-Ho ;
Communications of the Korean Mathematical Society, volume 21, issue 4, 2006, Pages 665~673
DOI : 10.4134/CKMS.2006.21.4.665
Abstract
In a recent paper, Domokos and
[2] gave an interesting interpretation of variational inequalities (VI) and vector variational inequalities (VVI) in Banach space settings in terms of variational inequalities with operator solutions (in short, OVVI). Inspired by their work, in a former paper [4], we proposed the scheme of generalized vector variational inequality with operator solutions (in short, GOVVI) which extends (OVVI) into a multivalued case. In this note, we further develop the previous work [4]. A more general pseudomonotone operator is treated. We present a result on the existence of solutions of (GVVI) under the weak pseudomonotonicity introduced in Yu and Yao [8] within the framework of (GOVVI) by exploiting some techniques on (GOVVI) or (GVVI) in [4].
7
CERTAIN REPRESENTATION OF A REAL POLYNOMIAL
Ahn, Young-Joon ; Kim, Seon-Hong ;
Communications of the Korean Mathematical Society, volume 21, issue 4, 2006, Pages 675~678
DOI : 10.4134/CKMS.2006.21.4.675
Abstract
We show that every real polynomial of degree n can be represented by the sum of two real polynomials of degree n, each having only real zeros. As an example of this, we consider a real polynomial with even degree whose all zeros lie on the imaginary axes except the origin.
8
A COMMON FIXED POINT THEOREM FOR A SEQUENCE OF SELF MAPS IN INTUITIONISTIC FUZZY METRIC SPACES
Kutukcu, Servet ;
Communications of the Korean Mathematical Society, volume 21, issue 4, 2006, Pages 679~687
DOI : 10.4134/CKMS.2006.21.4.679
Abstract
The purpose of this paper is to obtain a new common fixed point theorem by using a new contractive condition in intuitionistic fuzzy metric spaces. Our result generalizes and extends many known results in fuzzy metric spaces and metric spaces.
9
GENERALIZED NONLINEAR MULTIVALUED MIXED QUASI-VARIATIONAL-LIKE INEQUALITIES
Lee, Byung-Soo ; Khan M. Firdosh ; Salahuddin Salahuddin ;
Communications of the Korean Mathematical Society, volume 21, issue 4, 2006, Pages 689~700
DOI : 10.4134/CKMS.2006.21.4.689
Abstract
In this paper, we introduce a new class of generalized nonlinear multivalued mixed quasi-variational-like inequalities and prove the existence and uniqueness of solutions for the class of generalized nonlinear multivalued mixed quasi-variational-like inequalities in reflexive Banach spaces using Fan-KKM Theorem.
10
POSITIVE COEXISTENCE FOR A SIMPLE FOOD CHAIN MODEL WITH RATIO-DEPENDENT FUNCTIONAL RESPONSE AND CROSS-DIFFUSION
Ko, Won-Lyul ; Ahn, In-Kyung ;
Communications of the Korean Mathematical Society, volume 21, issue 4, 2006, Pages 701~717
DOI : 10.4134/CKMS.2006.21.4.701
Abstract
The positive coexistence of a simple food chain model with ratio-dependent functional response and cross-diffusion is discussed. Especially, when a cross-diffusion is small enough, the existence of positive solutions of the system concerned can be expected. The extinction conditions for all three interacting species and for one or two of three species are studied. Moreover, when a cross-diffusion is sufficiently large, the extinction of prey species with cross-diffusion interaction to predator occurs. The method employed is the comparison argument for elliptic problem and fixed point theory in a positive cone on a Banach space.
11
WEIGHTED COMPOSITION OPERATORS BETWEEN H
^{∞}
AND BERGMAN TYPE SPACES
Zhu, Xiangling ;
Communications of the Korean Mathematical Society, volume 21, issue 4, 2006, Pages 719~727
DOI : 10.4134/CKMS.2006.21.4.719
Abstract
In this paper, we study the boundedness and the com-pactness of weighted composition operator between
and Bergman type space on the unit ball of
. Also, the norm of corresponding weighted composition operator is computed.
12
RIBAUCOUR TRANSFORMATIONS ON RIEMANNIAN SPACE FORMS IN LORENTZIAN SPACE FORM
Park, Joon-Sang ;
Communications of the Korean Mathematical Society, volume 21, issue 4, 2006, Pages 729~737
DOI : 10.4134/CKMS.2006.21.4.729
Abstract
We study Ribaucour transformations on nondegenerate local isometric immersions of Riemannian space forms into Lorentzian space forms with flat normal bundles. They can be explained by dressing actions on the solution space of Lorentzian Grassmannian systems.
13
RIBAUCOUR TRANSFORMATION FOR FLAT m-SUBMANIFOLDS IN ℍ
^{m+n}
Zuo, Dafeng ;
Communications of the Korean Mathematical Society, volume 21, issue 4, 2006, Pages 739~747
DOI : 10.4134/CKMS.2006.21.4.739
Abstract
By using O(m+n, 1)/
, we give an analytic version of Ribaucour transformation for flat m-dimensional submanifolds in
with flat, non-degenerate normal bundle and free of weak umbilics, where
.
14
p-STACKS ON SUPRATOPOLOGICAL SPACES
Min, Won-Keun ;
Communications of the Korean Mathematical Society, volume 21, issue 4, 2006, Pages 749~758
DOI : 10.4134/CKMS.2006.21.4.749
Abstract
In [1], we introduced the notion of p-stacks. In this paper, by using p-stacks we characterize
functions, separation axioms, supracompactness and some properties on supratopological spaces. We also introduce the notion of p-supracompactness and study some properties.
15
A CHARACTERIZATION OF HYPERBOLIC TORAL AUTOMORPHISMS
Lee, Joo-Sung ;
Communications of the Korean Mathematical Society, volume 21, issue 4, 2006, Pages 759~769
DOI : 10.4134/CKMS.2006.21.4.759
Abstract
Let L :
be a hyperbolic automorphism. Then the hyperbolic toral automorphism
, induced by L, is a chaotic map ([2] pg.192). We characterize hyperbolic toral automorphisms by proving the converse of the above statement.
16
STRONG LAWS FOR WEIGHTED SUMS OF I.I.D. RANDOM VARIABLES
Cai, Guang-Hui ;
Communications of the Korean Mathematical Society, volume 21, issue 4, 2006, Pages 771~778
DOI : 10.4134/CKMS.2006.21.4.771
Abstract
Strong laws are established for linear statistics that are weighted sums of a random sample. We show extensions of the Marcinkiewicz-Zygmund strong laws under certain moment conditions on both the weights and the distribution. The result obtained extends and sharpens the result of Sung ([12]).
17
FUNCTIONAL CENTRAL LIMIT THEOREMS FOR MULTIVARIATE LINEAR PROCESSES GENERATED BY DEPENDENT RANDOM VECTORS
Ko, Mi-Hwa ;
Communications of the Korean Mathematical Society, volume 21, issue 4, 2006, Pages 779~786
DOI : 10.4134/CKMS.2006.21.4.779
Abstract
Let
be an m-dimensional linear process defined by
, t = 1, 2,
, where
is a sequence of m-dimensional random vectors with mean 0 :
and positive definite covariance matrix
and
is a sequence of coefficient matrices. In this paper we give sufficient conditions so that
(properly normalized) converges weakly to Wiener measure if the corresponding result for
is true.
18
SUBORDINATION, SELF-DECOMPOSABILITY AND SEMI-STABILITY
Choi, Gyeong-Suk ; Joo, Sang-Yeol ; Kim, Yun-Kyong ;
Communications of the Korean Mathematical Society, volume 21, issue 4, 2006, Pages 787~794
DOI : 10.4134/CKMS.2006.21.4.787
Abstract
Two main results are presented in relation to subordination, self-decomposability and semi-stability. One of the result is that strict semi-stability of subordinand process by selfdecomposable subordinator gives semi-selfdecomposability of the subordinated process. The second result is a sufficient condition for any subordinated process arising from a semi-stable subordinand and a semi-stable subordinator to be semi-selfdecomposable.