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Bulletin of the Korean Mathematical Society
Journal Basic Information
pISSN :
1015-8634
eISSN :
2234-3016
Journal DOI :
10.4134/BKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Volume & Issues
Volume 44, Issue 4 - Nov 2007
Volume 44, Issue 3 - Aug 2007
Volume 44, Issue 2 - May 2007
Volume 44, Issue 1 - Feb 2007
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1
MODULES OVER THE GENERALIZED CENTROID OF SEMI-PRIME GAMMA RINGS
Ozturk, Mehmet Ali ; Yazarli, Hasret ;
Bulletin of the Korean Mathematical Society, volume 44, issue 2, 2007, Pages 203~213
DOI : 10.4134/BKMS.2007.44.2.203
Abstract
The aim of this paper is to introduce modules over the generalized of a semi-prime
-ring
2
ON NCI RINGS
Hwang, Seo-Un ; Jeon, Young-Cheol ; Park, Kwang-Sug ;
Bulletin of the Korean Mathematical Society, volume 44, issue 2, 2007, Pages 215~223
DOI : 10.4134/BKMS.2007.44.2.215
Abstract
We in this note introduce the concept of NCI rings which is a generalization of NI rings. We study the basic structure of NCI rings, concentrating rings of bounded index of nilpotency and von Neumann regular rings. We also construct suitable examples to the situations raised naturally in the process.
3
GALOIS GROUPS OF MODULES AND INVERSE POLYNOMIAL MODULES
Park, Sang-Won ; Jeong, Jin-Sun ;
Bulletin of the Korean Mathematical Society, volume 44, issue 2, 2007, Pages 225~231
DOI : 10.4134/BKMS.2007.44.2.225
Abstract
Given an injective envelope E of a left R-module M, there is an associative Galois group Gal
. Let R be a left noetherian ring and E be an injective envelope of M, then there is an injective envelope
of an inverse polynomial module
as a left R[x]-module and we can define an associative Galois group Gal
. In this paper we describe the relations between Gal
and Gal
. Then we extend the Galois group of inverse polynomial module and can get Gal
, where S is a submonoid of
(the set of all natural numbers).
4
KUCERA GROUP OF CIRCULAR UNITS IN FUNCTION FIELDS
Ahn, Jae-Hyun ; Jung, Hwan-Yup ;
Bulletin of the Korean Mathematical Society, volume 44, issue 2, 2007, Pages 233~239
DOI : 10.4134/BKMS.2007.44.2.233
Abstract
Let
[T] be the polynomial ring over a finite field
[T] and K=
(T) its field of fractions. Let
be a fixed prime divisor of q-1. Let J be a finite set of monic irreducible polynomials
with deg
(mod
. In this paper we define the group
of circular units in K=k
in the sense of Kucera [4] and compute the index of
in the full unit group
.
5
NOTES ON A NON-ASSOCIATIVE ALGEBRA WITH EXPONENTIAL FUNCTIONS II
Choi, Seul-Hee ;
Bulletin of the Korean Mathematical Society, volume 44, issue 2, 2007, Pages 241~246
DOI : 10.4134/BKMS.2007.44.2.241
Abstract
For the evaluation algebra
, then
of the evaluation algebra
is found in the paper [15]. For
, we find
of the evaluation algebra
in this paper. We show that there is a non-associative algebra which is the direct sum of derivation invariant subspaces.
6
ASYMPTOTIC NORMALITY OF WAVELET ESTIMATOR OF REGRESSION FUNCTION UNDER NA ASSUMPTIONS
Liang, Han-Ying ; Qi, Yan-Yan ;
Bulletin of the Korean Mathematical Society, volume 44, issue 2, 2007, Pages 247~257
DOI : 10.4134/BKMS.2007.44.2.247
Abstract
Consider the heteroscedastic regression model
, where
, the design points
are known and nonrandom, and g and f are unknown functions defined on closed interval [0, 1]. Under the random errors
form a sequence of NA random variables, we study the asymptotic normality of wavelet estimators of g when f is a known or unknown function.
7
ON NUMBER OF WAYS TO SHELL THE k-DIMENSIONAL TREES
Chae, Gab-Byung ; Cheong, Min-Seok ; Kim, Sang-Mok ;
Bulletin of the Korean Mathematical Society, volume 44, issue 2, 2007, Pages 259~263
DOI : 10.4134/BKMS.2007.44.2.259
Abstract
Which spheres are shellable?[2]. We present one of them which is the k-tree with n-labeled vertices. We found that the number of ways to shell the k-dimensional trees on n-labeled vertices is
.
8
SOME POPULAR WAVELET DISTRIBUTION
Nadarajah, Saralees ;
Bulletin of the Korean Mathematical Society, volume 44, issue 2, 2007, Pages 265~270
DOI : 10.4134/BKMS.2007.44.2.265
Abstract
The modern approach for wavelets imposes a Bayesian prior model on the wavelet coefficients to capture the sparseness of the wavelet expansion. The idea is to build flexible probability models for the marginal posterior densities of the wavelet coefficients. In this note, we derive exact expressions for a popular model for the marginal posterior density.
9
ADDITIVITY OF LIE MAPS ON OPERATOR ALGEBRAS
Qian, Jia ; Li, Pengtong ;
Bulletin of the Korean Mathematical Society, volume 44, issue 2, 2007, Pages 271~279
DOI : 10.4134/BKMS.2007.44.2.271
Abstract
Let A standard operator algebra which does not contain the identity operator, acting on a Hilbert space of dimension greater than one. If
is a bijective Lie map from A onto an arbitrary algebra, that is
(AB-BA)=
for all A, B
A, then
is additive. Also, if A contains the identity operator, then there exists a bijective Lie map of A which is not additive.
10
BEREZIN TRANSFORMS AND TOEPLITZ OPERATORS ON THE WEIGHTED BERGMAN SPACES OF THE HALF-PLANE
Kang, Si-Ho ;
Bulletin of the Korean Mathematical Society, volume 44, issue 2, 2007, Pages 281~290
DOI : 10.4134/BKMS.2007.44.2.281
Abstract
We deal with Bergman functions defined on the half-plane. We study integral operators, and some relationship between Berezin transforms and Toeplitz operators, and also show that some Berezin transforms are Mobius invariant.
11
INTUITIONISTIC FUZZY n-NORMED LINEAR SPACE
Vijayabalaji, Srinivasan ; Thillaigovindan, Natesan ; Jun, Young-Bae ;
Bulletin of the Korean Mathematical Society, volume 44, issue 2, 2007, Pages 291~308
DOI : 10.4134/BKMS.2007.44.2.291
Abstract
The motivation of this paper is to present a new and interesting notion of intuitionistic fuzzy n-normed linear space. Cauchy sequence and convergent sequence in intuitionistic fuzzy n-normed linear space are introduced and we provide some results onit. Furthermore we introduce generalized cartesian product of the intuitionistic fuzzy n-normed linear space and establish some of its properties.
12
CUBIC OPERATOR NORM ON X
_{λ}
SPACE
Jung, Soon-Mo ;
Bulletin of the Korean Mathematical Society, volume 44, issue 2, 2007, Pages 309~313
DOI : 10.4134/BKMS.2007.44.2.309
Abstract
By applying ideas from [M. S. Moslehian, et al., Norms of operators in
spaces, Appl. Math. Lett. (2007), doi:10.1016/j.aml.2006. 11.009], we investigate the norm of the cubic operator on the function space
.
13
HYBRID FIXED POINT THEORY AND EXISTENCE OF EXTREMAL SOLUTIONS FOR PERTURBED NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
Dhage, Bapurao C. ;
Bulletin of the Korean Mathematical Society, volume 44, issue 2, 2007, Pages 315~330
DOI : 10.4134/BKMS.2007.44.2.315
Abstract
In this paper, some hybrid fixed point theorems are proved which are further applied to first and second order neutral functional differential equations for proving the existence results for the extremal solutions under the mixed Lipschitz, compactness and monotonic conditions.
14
NESTING POLYNOMIALS IN INFINITE RADICALS
Humphries, Peter J. ;
Bulletin of the Korean Mathematical Society, volume 44, issue 2, 2007, Pages 331~336
DOI : 10.4134/BKMS.2007.44.2.331
Abstract
We consider infinite nested radicals in which the arguments are positive polynomial sequences. It is shown that the evaluation of such a nesting is always finite, and we prove necessary and sufficient conditions for the evaluation to be a finite polynomial.
15
ON NONSINGULAR EMBRY QUARTIC MOMENT PROBLEM
Li, Chungji ; Sun, Xiaoyun ;
Bulletin of the Korean Mathematical Society, volume 44, issue 2, 2007, Pages 337~350
DOI : 10.4134/BKMS.2007.44.2.337
Abstract
Given a collection of complex numbers
with
>
, we consider the moment problem for
in the case of n=2, which is referred to Embry quartic moment problem. In this note we give a partial solution for the nonsingular case of Embry quartic moment problem.
16
PERTURBATION OF NONHARMONIC FOURIER SERIES AND NONUNIFORM SAMPLING THEOREM
Park, Hee-Chul ; Shin, Chang-Eon ;
Bulletin of the Korean Mathematical Society, volume 44, issue 2, 2007, Pages 351~358
DOI : 10.4134/BKMS.2007.44.2.351
Abstract
For an entire function f whose Fourier transform has a compact support confined to
and restriction to
belongs to
, we derive a nonuniform sampling theorem of Lagrange interpolation type with sampling points
, under the condition that
<
.
17
INTUITIONISTIC FUZZY SETS IN GAMMA-SEMIGROUPS
Uckun, Mustafa ; Ozturk, Mehmet Ali ; Jun, Young-Bae ;
Bulletin of the Korean Mathematical Society, volume 44, issue 2, 2007, Pages 359~367
DOI : 10.4134/BKMS.2007.44.2.359
Abstract
We consider the intuitionistic fuzzification of the concept of several
-ideals in a
-semigroup S, and investigate some properties of such
-ideals.
18
A WEIERSTRASS SEMIGROUP AT A PAIR OF INFLECTION POINTS ON A SMOOTH PLANE CURVE
Kang, Eun-Ju ; Kim, Seon-Jeong ;
Bulletin of the Korean Mathematical Society, volume 44, issue 2, 2007, Pages 369~378
DOI : 10.4134/BKMS.2007.44.2.369
Abstract
We classify all semigroups each of which arises as a Weierstrass semigroup at a pair of inflection points of multiplicities d or d-1 on a smooth plane curve of degree d.
19
AN AFFINE MODEL OF X
_{0}
(mn)
Choi, So-Young ; Koo, Ja-Kyung ;
Bulletin of the Korean Mathematical Society, volume 44, issue 2, 2007, Pages 379~383
DOI : 10.4134/BKMS.2007.44.2.379
Abstract
We show that the modular equation
(X, Y) for the Thompson series
corresponding to
(n) gives an affine model of the modular curve
(mn) which has better properties than the one derived from the modular j invariant. Here, m and n are relative prime. As an application, we construct a ring class field over an imaginary quadratic field K by singular values of
(mz).