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The Pure and Applied Mathematics
Journal Basic Information
pISSN :
1226-0657
eISSN :
2287-6081
Journal DOI :
10.7468/jksmeb
Frequency :
Others
Publisher:
Korea Society of Mathematical Education
Editor in Chief :
Volume & Issues
Volume 10, Issue 5 - Dec 2003
Volume 10, Issue 4 - Nov 2003
Volume 10, Issue 3 - Aug 2003
Volume 10, Issue 2 - May 2003
Volume 10, Issue 1 - Feb 2003
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1
A NOTE ON STRONG REDUCEDNESS IN NEAR-RINGS
Cho, Yong-Uk ;
The Pure and Applied Mathematics, volume 10, issue 4, 2003, Pages 199~206
Abstract
Let N be a right near-ring. N is said to be strongly reduced if, for
,
implies
, or equivalently, for
and any positive integer n,
implies
, where
denotes the constant part of N. We will show that strong reducedness is equivalent to condition (ⅱ) of Reddy and Murty's property
(cf. [Reddy & Murty: On strongly regular near-rings. Proc. Edinburgh Math. Soc. (2) 27 (1984), no. 1, 61-64]), and that condition (ⅰ) of Reddy and Murty's property
follows from strong reducedness. Also, we will investigate some characterizations of strongly reduced near-rings and their properties. Using strong reducedness, we characterize left strongly regular near-rings and (
)-near-rings.
2
SOME RESULTS CONCERNING (
)-DERIVATIONS ON PRIME RINGS
Hong, Kyoo-Hong ; Jung, Yong-Soo ;
The Pure and Applied Mathematics, volume 10, issue 4, 2003, Pages 207~215
Abstract
Let R be a prime ring with characteristic different from two and let
be the automorphisms of R. Let d :
be a nonzero (
)-derivation. We prove the following results: (i) if
, the center of R, (ii) if $d([R,a]_{\sigma,\;\tau)\;=\;0,\;then\;\sigma(a)\;+\;\tau(a)\;\in\;Z$,/TEX>, (iii) if
, then a = 0 or R is commutative.
3
ESSENTIAL SPECTRA OF
OPERATORS
Cha, Hyung-Koo ; Kim, Jae-Hee ; Lee, Kwang-Il ;
The Pure and Applied Mathematics, volume 10, issue 4, 2003, Pages 217~223
Abstract
Let
be the extension Hilbert space of a Hilbert space
and let
be the faithful
-representation of
on
. In this paper, we show that if T is an irreducible
operators such that
and
is compact, then
.
4
GENERALIZED VECTOR VARIATIONAL-TYPE INEQUALITIES FOR SET-VALUED MAPPINGS
Lee, Suk-Jin ; Lee, Byung-Soo ;
The Pure and Applied Mathematics, volume 10, issue 4, 2003, Pages 225~232
Abstract
In this paper, we consider the existence of the solutions to the generalized vector variational-type inequalities for set-valued mappings on Hausdorff topological vector spaces using Fan's geometrical lemma.
5
t-INTUITIONISTIC FUZZY SUBGROUPOIDS
Kang, Hee-Won ; Hur, Kul ; Ryou, Jang-Hyun ;
The Pure and Applied Mathematics, volume 10, issue 4, 2003, Pages 233~244
Abstract
In this paper, we introduce the concepts of t-intuitionistic fuzzy products and t-intuitionistic fuzzy subgroupoids. And we study some properties of t-products and t-subgroupoids.
6
COMMON FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MAPPINGS IN MENGER SPACES
Sharma, S. ; Choubey, K. ;
The Pure and Applied Mathematics, volume 10, issue 4, 2003, Pages 245~254
Abstract
In this paper we prove common fixed point theorems for four mappings, under the condition of weakly compatible mappings in Menger spaces, without taking any function continuous. We improve results of [A common fixed point theorem for three mappings on Menger spaces. Math. Japan. 34 (1989), no. 6, 919-923], [On common fixed point theorems of compatible mappings in Menger spaces. Demonstratio Math. 31 (1998), no. 3, 537-546].
7
A COMPARISON OF COMPUTING TIMES ON THE BICUBIC B-SPLINE
Kim, Hoi-Sub ;
The Pure and Applied Mathematics, volume 10, issue 4, 2003, Pages 255~263
Abstract
We compare the computing times on the bicubic B-spline dueing to the algorithms.
8
ON THE FEKETE-SZEGO PROBLEM FOR CERTAIN ANALYTIC FUNCTIONS
Kwon, Oh-Sang ; Cho, Nak-Eun ;
The Pure and Applied Mathematics, volume 10, issue 4, 2003, Pages 265~271
Abstract
Let
denote the class of normalized strongly
-close-to-convex functions of order
, defined in the open unit disk
of $\mathbb{C}$ such that
, the class of normalized starlike unctions. In this paper, we obtain the sharp Fekete-Szego inequalities for functions belonging to
.
9
AN EXTENSION OF THE FUGLEDGE-PUTNAM THEOREM TO
-HYPONORMAL OPERATORS
Cha, Hyung Koo ;
The Pure and Applied Mathematics, volume 10, issue 4, 2003, Pages 273~277
Abstract
The Fuglede-Putnam Theorem is that if A and B are normal operators and X is an operator such that AX = XB, then $A^{\ast}= X
-hyponormal and
is invertible
-hyponormal such that AX = XB for a Hilbert-Schmidt operator X, then
.
10
ON TWO-DIMENSIONAL LANDSBERG SPACE WITH A SPECIAL (
)-METRIC
Lee, Il-Yong ;
The Pure and Applied Mathematics, volume 10, issue 4, 2003, Pages 279~288
Abstract
In the present paper, we treat a Finsler space with a special (
)-metric
satisfying some conditions. We find a condition that a Finsler space with a special (
)-metric be a Berwald space. Then it is shown that if a two-dimensional Finsler space with a special (
)-metric is a Landsberg space, then it is a Berwald space.