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Communications of the Korean Mathematical Society
Journal Basic Information
pISSN :
12251763
eISSN :
22343024
Journal DOI :
10.4134/CKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Seoung Dal Jung
Volume & Issues
Volume 23, Issue 4  Oct 2008
Volume 23, Issue 3  Jul 2008
Volume 23, Issue 2  Apr 2008
Volume 23, Issue 1  Jan 2008
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1
εFUZZY CONGRUENCES ON SEMIGROUPS
Chon, InHeung ;
Communications of the Korean Mathematical Society, volume 23, issue 4, 2008, Pages 461~468
DOI : 10.4134/CKMS.2008.23.4.461
Abstract
We define an
fuzzy congruence, which is a weakened fuzzy congruence, find the
fuzzy congruence generated by the union of two
fuzzy congruences on a semigroup, and characterize the
fuzzy congruences generated by fuzzy relations on semigroups. We also show that the collection of all
fuzzy congruences on a semigroup is a complete lattice and that the collection of
fuzzy congruences under some conditions is a modular lattice.ࠀȀ耀
2
TWOSIDED ΓαDERIVATIONS IN PRIME AND SEMIPRIME ΓNEARRINGS
Kazaz, Mustafa ; Alkan, Akin ;
Communications of the Korean Mathematical Society, volume 23, issue 4, 2008, Pages 469~477
DOI : 10.4134/CKMS.2008.23.4.469
Abstract
We introduce the notion of twosided

derivation of a
nearring and give some generalizations of [1, 2].
3
WEIERSTRASS POINTS ON Γ
_{0}
(p) AND ITS APPLICATION
Choi, DoHoon ;
Communications of the Korean Mathematical Society, volume 23, issue 4, 2008, Pages 479~485
DOI : 10.4134/CKMS.2008.23.4.479
Abstract
In this note, we study arithmetic properties for the exponents of modular forms on
for primes p. Our aim is to refine the result of [4] by using the geometric property of the modular curve of
.
4
ON THE STRUCTURE OF THE GRADE THREE PERFECT IDEALS OF TYPE THREE
Choi, EunJeong ; Kang, OhJin ; Ko, HyoungJune ;
Communications of the Korean Mathematical Society, volume 23, issue 4, 2008, Pages 487~497
DOI : 10.4134/CKMS.2008.23.4.487
Abstract
Buchsbaum and Eisenbud showed that every Gorenstein ideal of grade 3 is generated by the submaximal order pfaffians of an alternating matrix. In this paper, we describe a method for constructing a class of type 3, grade 3, perfect ideals which are not Gorenstein. We also prove that they are algebraically linked to an even type grade 3 almost complete intersection.
5
SOME REMARKS ON EISENSTEIN`S CRITERION
Woo, SungSik ;
Communications of the Korean Mathematical Society, volume 23, issue 4, 2008, Pages 499~509
DOI : 10.4134/CKMS.2008.23.4.499
Abstract
In [4] we showed that a polynomial over a Noetherian ring is divisible by some other polynomial by looking at the matrix formed by the coefficients of the polynomials which we called the resultant matrix. Using the result, we will find conditions for a polynomial over a commutative ring to be irreducible. This can be viewed as a generalization of the Eisenstein`s irreducibility criterion.
6
SIMPLE VALUATION IDEALS OF ORDER 3 IN TWODIMENSIONAL REGULAR LOCAL RINGS
Noh, SunSook ;
Communications of the Korean Mathematical Society, volume 23, issue 4, 2008, Pages 511~528
DOI : 10.4134/CKMS.2008.23.4.511
Abstract
Let (R, m) be a 2dimensional regular local ring with algebraically closed residue field R/m. Let K be the quotient field of R and
be a prime divisor of R, i.e., a valuation of K which is birationally dominating R and residually transcendental over R. Zariski showed that there are finitely many simple
ideals $m\;
7
BLOWUP FOR A NONNEWTON POLYTROPIC FILTRATION SYSTEM WITH NONLINEAR NONLOCAL SOURCE
Zhou, Jun ; Mu, Chunlai ;
Communications of the Korean Mathematical Society, volume 23, issue 4, 2008, Pages 529~540
DOI : 10.4134/CKMS.2008.23.4.529
Abstract
This paper deals the global existence and blowup properties of the following nonNewton polytropic filtration system, $${u_t}{\triangle}_{m,p}u
8
THE MINIMUM MODULUS OF A LINEAR MAP IN OPERATOR SPACES
Kye, SeungHyeok ;
Communications of the Korean Mathematical Society, volume 23, issue 4, 2008, Pages 541~548
DOI : 10.4134/CKMS.2008.23.4.541
Abstract
For a completely bounded linear maps between operator spaces, we introduce numbers which measure the degree of injectivity and subjectivity. The number measuring the injectivity is an operator space analogue of the minimum modulus of a linear map in normed spaces.
9
MULTIFRACTAL SPECTRUM IN A SELFSIMILAR ATTRACTOR IN THE UNIT INTERVAL
Baek, InSoo ;
Communications of the Korean Mathematical Society, volume 23, issue 4, 2008, Pages 549~554
DOI : 10.4134/CKMS.2008.23.4.549
Abstract
We study the multifractal spectrum of two dimensionally indexed classes whose members are distribution sets of a selfsimilar attractor in the unit interval.
10
ASYMPTOTIC EXPANSIONS OF THE SOLUTIONS TO THE HEAT EQUATIONS WITH HYPERFUNCTIONS INITIAL VALUE
Yoshino, Kunio ; Oka, Yasuyuki ;
Communications of the Korean Mathematical Society, volume 23, issue 4, 2008, Pages 555~565
DOI : 10.4134/CKMS.2008.23.4.555
Abstract
We will derive the asymptotic expansions of solutions of the heat equation with hyperfunctions initial data.
11
HYERSULAM STABILITY OF TRIGONOMETRIC FUNCTIONAL EQUATIONS
Chang, JeongWook ; Chung, JaeYoung ;
Communications of the Korean Mathematical Society, volume 23, issue 4, 2008, Pages 567~575
DOI : 10.4134/CKMS.2008.23.4.567
Abstract
In this article we prove the Hyers.Ulam stability of trigonometric functional equations.
12
A NOTE ON THE VOLUME COMPARISON OF TUBES AROUND GEODESICS
Yun, JongGug ;
Communications of the Korean Mathematical Society, volume 23, issue 4, 2008, Pages 577~585
DOI : 10.4134/CKMS.2008.23.4.577
Abstract
In this paper, we shall calculate the volume of normal tubes around geodesics under a curvature perturbation to establish a theorem of volume comparison type.
13
SOME REMARKS ON STABLE MINIMAL SURFACES IN THE CRITICAL POINT OF THE TOTAL SCALAR CURVATURE
Hwang, SeungSu ;
Communications of the Korean Mathematical Society, volume 23, issue 4, 2008, Pages 587~595
DOI : 10.4134/CKMS.2008.23.4.587
Abstract
It is well known that critical points of the total scalar curvature functional S on the space of all smooth Riemannian structures of volume 1 on a compact manifold M are exactly the Einstein metrics. When the domain of S is restricted to the space of constant scalar curvature metrics, there has been a conjecture that a critical point is isometric to a standard sphere. In this paper we investigate the relationship between the first Betti number and stable minimal surfaces, and study the analytic properties of stable minimal surfaces in M for n
14
ON THE COMPLETE MOMENT CONVERGENCE OF MOVING AVERAGE PROCESSES GENERATED BY ρ
^{*}
MIXING SEQUENCES
Ko, MiHwa ; Kim, TaeSung ; Ryu, DaeHee ;
Communications of the Korean Mathematical Society, volume 23, issue 4, 2008, Pages 597~606
DOI : 10.4134/CKMS.2008.23.4.597
Abstract
Let {
<
<
} be a doubly infinite sequence of identically distributed and
mixing random variables with zero means and finite variances and {
<
<
} an absolutely summable sequence of real numbers. In this paper, we prove the complete moment convergence of {${\sum}^n_{k
15
GENERALIZATION OF A TRANSFORMATION FORMULA FOUND BY BAILLON AND BRUCK
Rathie, Arjun K. ; Kim, YongSup ;
Communications of the Korean Mathematical Society, volume 23, issue 4, 2008, Pages 607~610
DOI : 10.4134/CKMS.2008.23.4.607
Abstract
We aim mainly at presenting a generalization of a transformation formula found by Baillon and Bruck. The result is derived with the help of the wellknown quadratic transformation formula due to Gauss.