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Journal of the Chungcheong Mathematical Society
Journal Basic Information
pISSN :
1226-3524
eISSN :
Journal DOI :
10.14403/jcms
Frequency :
Others
Publisher:
Chungcheong Mathematical Society
Editor in Chief :
Nam-Jip Koo
Volume & Issues
Volume 22, Issue 4 - Dec 2009
Volume 22, Issue 3 - Sep 2009
Volume 22, Issue 2 - Jun 2009
Volume 22, Issue 1 - Mar 2009
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1
SOME RESULTS ON STRONG
Cho, Yong-Uk ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 293~297
Abstract
We will introduce some properties of strongly reduced near- rings and the notion of left
-regular near-ring. Also,we will study for right
-regular, strongly left
-regular, strongly right
-regular and strongly
- regular. Next, we may characterize the strongly
-regular near-rings with related strong reducibility.
2
ISOMORPHISM CLASSES OF ELLIPTIC CURVES OVER FINITE FIELDS WITH CHARACTERISTIC 3
Jeong, Eun-Kyung ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 299~307
Abstract
We count the isomorphism classes of elliptic curves over finite fields
and list a representative of each isomorphism class. Also we give the number of rational points for each supersin- gular elliptic curve over
3
POINCAR
'S INEQUALITY ON A NEW FUNCTION SPACE
Pak, Hee-Chul ; Chang, Sang-Hoon ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 309~318
Abstract
We prove the homogeneous property of the norm of the new space
which has been developed in [3]. We also present Poincar
's inequality that is fitted to the function space
with an appropriate slope condition.
4
A NOTE ON THE GENERALIZED VARIATIONAL INEQUALITY WITH OPERATOR SOLUTIONS
Kum, Sang-Ho ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 319~324
Abstract
In a series of papers [3, 4, 5], the author developed the generalized vector variational inequality with operator solutions (in short, GOVVI) by exploiting variational inequalities with operator solutions (in short, OVVI) due to Domokos and Kolumb
n [2]. In this note, we give an extension of the previous work [4] in the setting of Hausdorff locally convex spaces. To be more specific, we present an existence of solutions of (GVVI) under the weak pseudomonotonicity introduced in Yu and Yao [7] within the framework of (GOVVI).
5
ON A CLASS OF GENERALIZED LOGARITHMIC FUNCTIONAL EQUATIONS
Chung, Jae-Young ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 325~332
Abstract
Reducing the generalized logarithmic functional equa-tions to differential equations in the sense of Schwartz distributions, we find the locally integrable solutions of the equations.
6
STRONGLY PRIME FUZZY IDEALS AND RELATED FUZZY IDEALS IN AN INTEGRAL DOMAIN
Kim, Myeon-Og ; Kim, Hwan-Koo ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 333~351
Abstract
We introduce the concepts of strongly prime fuzzy ideals, powerful fuzzy ideals, strongly primary fuzzy ideals, and pseudo-strongly prime fuzzy ideals of an integral domain R and we pro-vide characterizations of pseudo-valuation domains, almost pseudo-valuation domains, and pseudo-almost valuation domains in terms of these fuzzy ideals.
7
ON WEAKLY
FUNCTIONS
Min, Won-Keun ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 353~358
Abstract
In [6], the author introduced the concepts of
-open sets and
-continuous functions. In this paper, we introduce the concept of weak
-continuity which is a generalization of
-continuity and weak continuity and investigate characterizations for such functions.
8
TUBES OF WEINGARTEN TYPES IN A EUCLIDEAN 3-SPACE
Ro, Jin-Suk ; Yoon, Dae-Won ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 359~366
Abstract
In this paper, we study a tube in a Euclidean 3-space satisfying some equation in terms of the Gaussian curvature, the mean curvature and the second Gaussian curvature.
9
BURST-ERROR-CORRECTING BLOCK CODE USING FIBONACCI CODE
Lee, Gwang-Yeon ; Choi, Dug-Hwan ; Kim, Jin-Soo ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 367~374
Abstract
The errors take place in the communication channel but they are often burst-error types. From properties of the Fi-bonacci code, it is not difficult to detect the burst-errors accompanying with this code. Fibonacci codes for correcting the double-burst-error patterns are presented. Given the channel length with the double-burst-error type, Fibonacci code correcting these errors is constructed by a simple formula.
10
COMMON STATIONARY POINTS FOR CONTRACTIVE TYPE MULTIVALUED MAPPINGS
Kang, Shi-Min ; Jia, Ming ; Liu, Zeqing ; Kwun, Young-Chel ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 375~382
Abstract
Several common stationary point theorems for two classes of contractive type multivalued mappings in a complete bounded metric space are given. The results presented in this paper generalize and extend some known results in literature.
11
ON THE GENERALIZED HYERS-ULAM STABILITY OF A BI-JENSEN FUNCTIONAL EQUATION
Jun, Kil-Woung ; Lee, Ju-Ri ; Lee, Yang-Hi ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 383~398
Abstract
In this paper, we study the generalized Hyers-Ulam stability of a bi-Jensen functional equation
= f(x, z) + f(x,w) + f(y, z) + f(y,w). Moreover, we establish stability results on the punctured domain.
12
BIPOLAR FUZZY TRANSLATIONS IN BCK/BCI-ALGEBRAS
Jun, Young-Bae ; Kim, Hee-Sik ; Lee, Kyoung-Ja ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 399~408
Abstract
A bipolar fuzzy translation and a bipolar fuzzy S-extension of a bipolar fuzzy subalgebra in a BCK/BCI-algebra are introduced, and related properties are investigated.
13
LIGHTLIKE HYPERSURFACES WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS
Jin, Dae-Ho ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 409~416
Abstract
In this paper, we study the geometry of lightlike hypersurfaces of a semi-Riemannian manifold. We prove a classification theorem for lightlike hypersurfaces M with totally umbilical screen distributions of a semi-Riemannian space form.
14
N-IDEALS OF BCK/BCI-ALGERBAS
Jun, Young-Bae ; Lee, Kyoung-Ja ; Song, Seok-Zun ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 417~437
Abstract
The notions of N-subalgebras, (closed, commutative, retrenched) N-ideals,
-negative functions, and \alpha-translations are introduced, and related properties are investigated. Characteriza- tions of an N-subalgebra and a (commutative) N-ideal are given. Relations between an N-subalgebra, an N-ideal and commutative N-ideal are discussed. We verify that every
-translation of an N-subalgebra (resp. N-ideal) is a retrenched N-subalgebra (resp. retrenched N-ideal).
15
ON THE 2-VARIABLE SUBNORMAL COMPLETION PROBLEM
Lee. Jun-Ik ; Lee, Sang-Hoon ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 439~450
Abstract
The truncated moment problem, representing measure, 2-variable weighted shifts, subnormal completion problem.
16
ON PRIME AND SEMIPRIME RINGS WITH SYMMETRIC
-DERIVATIONS
Park, Kyoo-Hong ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 451~458
Abstract
Let
be a fixed positive integer and let
be a noncommutative
!-torsion free semiprime ring. Suppose that there exists a symmetric n-derivation
:
such that the trace of
is centralizing on
. Then the trace is commuting on
. If
is a
!-torsion free prime ring and
0 under the same condition. Then
is commutative
17
SOME FUZZY SEMIPRIME IDEALS OF SEMIGROUPS
Kim, Ju-pil ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 459~466
Abstract
The purpose of this paper is to study the some proper-ties of fuzzy quasi-semiprime ideal, fuzzy prime ideals and to prove some fundamental properties of semigroups. In particular, we will establish a relation between fuzzy prime ideals and weakly com-pletely semiprime ideals by using the some equivalent conditions of fuzzy semiprime ideals.
18
SEVERAL RESULTS ASSOCIATED WITH THE RIEMANN ZETA FUNCTION
Choi, June-Sang ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 467~480
Abstract
In 1859, Bernhard Riemann, in his epoch-making memoir, extended the Euler zeta function
(s) (s > 1; s
) to the Riemann zeta function
(s) (
(s) > 1; s
) to investigate the pattern of the primes. Sine the time of Euler and then Riemann, the Riemann zeta function
(s) has involved and appeared in a variety of mathematical research subjects as well as the function itself has been being broadly and deeply researched. Among those things, we choose to make a further investigation of the following subjects: Evaluation of
(2
) (
); Approximate functional equations for
(s); Series involving the Riemann zeta function.
19
ANALYTIC FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION OF FUNCTIONALS IN A GENERALIZED FRESNEL CLASS
Kim, Byoung-Soo ; Song, Teuk-Seob ; Yoo, Il ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 481~495
Abstract
Huffman, Park and Skoug introduced various results for the
analytic Fourier-Feynman transform and the convolution for functionals on classical Wiener space which belong to some Banach algebra S introduced by Cameron and Storvick. Also Chang, Kim and Yoo extended the above results to an abstract Wiener space for functionals in the Fresnel class F(B) which corresponds to S. Moreover they introduced the
analytic Fourier-Feynman transform for functionals on a product abstract Wiener space and then established the above results for functionals in the generalized Fresnel class
containing F(B). In this paper, we investigate more generalized relationships, between the Fourier-Feynman transform and the convolution product for functionals in
, than the above results.
20
COMPOSITION OF POLYNOMIALS OVER A FIELD
Choi, Eun-Mi ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 497~506
Abstract
This work studies about the composition polynomial f(g(x)) that preserves certain properties of f(x) and g(x). We shall investigate necessary and sufficient conditions of f(x) and g(x) to be f(g(x)) is separable, solvable by radical or split completely. And we find relationship of Galois groups of f(g(x)), f(x) and of g(x).
21
A FUNCTIONAL CENTRAL LIMIT THEOREM FOR LINEAR RANDOM FIELD GENERATED BY NEGATIVELY ASSOCIATED RANDOM FIELD
Ryu, Dae-Hee ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 507~517
Abstract
We prove a functional central limit theorem for a linear random field generated by negatively associated multi-dimensional random variables. Under finite second moment condition we extend the result in Kim, Ko and Choi[Kim,T.S, Ko,M.H and Choi, Y.K.,2008. The invariance principle for linear multi-parameter stochastic processes generated by associated fields. Statist. Probab. Lett. 78, 3298-3303] to the negatively associated case.
22
THE INVERSION FORMULA OF THE STIELTJES TRANSFORM OF SPECTRAL DISTRIBUTION
Choi, Sang-Il ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 519~524
Abstract
In multivariate analysis, the inversion formula of the Stieltjes transform is used to fid the density of a spectral distribution of random matrices of sample covariance type. Let
where$ Ym =
m{\times}n $is with independent, identically distributed entries and Tm is an
symmetric nonnegative definite random matrix independent of the
's. In the present paper, using the inversion formula of the Stieltjes transform, we will find the density function of the limiting distribution of Bn away from zero.
23
RELATIVE REGULAR RELATIONS
Yu, Jung-Ok ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 525~534
Abstract
In this paper the relative regular relations with respect to a homomorphism are defied and it will be given the necessary and sufficient conditions for the relations to be transitive.
24
h-STABILITY IN VOLTERRA DIFFERENCE SYSTEMS
Goo, Yoon-Hoe ; Park, Gyeong-In ; Ko, Jung-Hyun ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 535~543
Abstract
We investigate h−stability of solutions of nonlinear Volterra difference systems and linear Volterra difference systems.
25
ON ASYMPTOTIC PROPERTY IN VARIATION FOR NONLINEAR DIFFERENTIAL SYSTEMS
Choi, Sung-Kyu ; Im, Dong-Man ; Koo, Nam-Jip ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 545~556
Abstract
We show that two notions of asymptotic equilibrium and asymptotic equilibrium in variation for nonlinear differential systems are equivalent via
-similarity of associated variational systems. Moreover, we study the asymptotic equivalence between nonlinear system and its variational system.
26
LOCAL REGULARITY OF THE STEADY STATE NAVIER-STOKES EQUATIONS NEAR BOUNDARY IN FIVE DIMENSIONS
Kim, Jae-Woo ; Kim, Myeong-Hyeon ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 557~569
Abstract
We present a new regularity criterion for suitable weak solutions of the steady-state Navier-Stokes equations near boundary in dimension five. We show that suitable weak solutions are regular up to the boundary if the scaled
-norm of the solution is small near the boundary. Our result is also valid in the interior.
27
DIRECT SUM ON WFI-ALGEBRAS
Roh, Eun-Hwan ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 571~577
Abstract
The notion of subdirect sum and direct sum in WFI-algebras is introduced, and several properties are investigated.
28
PROBABILITIES OF ANALOGUE OF WIENER PATHS CROSSING CONTINUOUSLY DIFFERENTIABLE CURVES
Ryu, Kun-Sik ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 579~586
Abstract
Let
be a complete probability measure on
, let
be the analogue of Wiener measure over paths on [0, T] and let
be continuously differentiable on [0, T]. In this note, we give the analogue of Wiener measure
of {x in C[0, T]
x(0) < f(0) and
>
for some
in [0, T] }by use of integral equation techniques. This result is a generalization of Park and Paranjape's 1974 result[1].
29
MEET-REDUCIBILITY OF
-SUBGROUPS
Kim, Jae-Gyeom ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 587~591
Abstract
The structure of a TL-subgroup can be understood from the representations of the TL-sub group as meets of TL-subgroups containing the TL-subgroup. Indeed, the structure of the meet of TL-subgroups can easily be obtained from the structures of the TL-subgroups and the structures of the TL-subgroups may be more simple than the structure of the meet. In this paper, we discuss meet-reducibility of TL-subgroups.
30
A FEW REMARKS ON COLLET-ECKMANN ATTRACTORS, LYAPUNOV ATTRACTORS AND ASYMPTOTICALLY STABLE ATTRACTORS
Choy, Jae-Yoo ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 593~596
Abstract
In this short note, we explicate a relation among Collet- Eckmann attractors, Lyapunov attractors and asymptotically stable attractors in the sense of J. Milnor[4].
31
ON THE STATISTICALLY COMPLETE FUZZY NORMED LINEAR SPACE.
Rhie, Gil-Seob ; Hwang, In-Ah ; Kim. Jeong-Hee ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 597~606
Abstract
In this paper, we introduce the notion of the statisti-cally complete fuzzy norm on a linear space. And we consider some relations between the fuzzy statistical completeness and ordinary completeness on a linear space.
32
THE INTEGRATION BY PARTS FOR THE C-INTEGRAL
Park, Jae-Myung ; Lee, Deok-Ho ; Yoon, Ju-Han ; Yu, Young-Hyun ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 3, 2009, Pages 607~613
Abstract
In this paper, we define the C-integral and prove the integration by parts formula for the C-integral.