Go to the main menu
Skip to content
Go to bottom
REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
search word
HOME
>
Journal Browse
>
About Journal
> Journal Vol & Issue
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 :
Moon-Ja Jeong
Volume & Issues
Volume 21, Issue 4 - Nov 2014
Volume 21, Issue 3 - Aug 2014
Volume 21, Issue 2 - May 2014
Volume 21, Issue 1 - Feb 2014
Selecting the target year
2016
2015
2014
2013
2012
2011
2010
2009
2008
2007
2006
2005
2004
2003
2002
2001
2000
1999
1998
1997
1996
1995
1994
All
1
X-LIFTING MODULES OVER RIGHT PERFECT RINGS
Shin, Jong Moon ; Chang, Chae-Hoon ;
The Pure and Applied Mathematics, volume 21, issue 2, 2014, Pages 95~103
DOI : 10.7468/jksmeb.2014.21.2.95
Abstract
Keskin and Harmanci defined the family
. And Orhan and Keskin generalized projective modules via the class
(M,X). In this note we introduce X-local summands and X-hollow modules via the class
(M,X). Let R be a right perfect ring and let M be an X-lifting module. We prove that if every co-closed submodule of any projective module contains its radical, then M has an indecomposable decomposition. This result is a generalization of Kuratomi and Chang's result [9, Theorem 3.4]. Let X be an R-module. We also prove that for an X-hollow module H such that every non-zero direct summand K of H with
, if
has the internal exchange property, then H has a local endomorphism ring.
2
INTERSECTION-SOFT IDEALS IN CI-ALGEBRAS
Ko, Jung Mi ; Kim, Yong Chan ; Song, Seok Zun ;
The Pure and Applied Mathematics, volume 21, issue 2, 2014, Pages 105~112
DOI : 10.7468/jksmeb.2014.21.2.105
Abstract
The notion of intersection-soft ideal of CI-algebras is introduced, and related properties are investigated. A characterization of an intersection-soft ideal is provided, and a new intersection-soft ideal from the old one is established.
3
FILTER SPACES AND BASICALLY DISCONNECTED COVERS
Jeon, Young Ju ; Kim, ChangIl ;
The Pure and Applied Mathematics, volume 21, issue 2, 2014, Pages 113~120
DOI : 10.7468/jksmeb.2014.21.2.113
Abstract
In this paper, we first show that for any space X, there is a
-complete Boolean subalgebra of
(X) and that the subspace {
is a fixed
-ultrafilter} of the Stone-space
is the minimal basically disconnected cover of X. Using this, we will show that for any countably locally weakly Lindel
f space X, the set {
is a
-complete Boolean subalgebra of
(X) containing
and
is basically disconnected}, when partially ordered by inclusion, becomes a complete lattice.
4
CHARACTERIZATIONS OF BOOLEAN RANK PRESERVERS OVER BOOLEAN MATRICES
Beasley, Leroy B. ; Kang, Kyung-Tae ; Song, Seok-Zun ;
The Pure and Applied Mathematics, volume 21, issue 2, 2014, Pages 121~128
DOI : 10.7468/jksmeb.2014.21.2.121
Abstract
The Boolean rank of a nonzero m
Boolean matrix A is the least integer k such that there are an
Boolean matrix B and a
Boolean matrix C with A = BC. In 1984, Beasley and Pullman showed that a linear operator preserves the Boolean rank of any Boolean matrix if and only if it preserves Boolean ranks 1 and 2. In this paper, we extend this characterization of linear operators that preserve the Boolean ranks of Boolean matrices. We show that a linear operator preserves all Boolean ranks if and only if it preserves two consecutive Boolean ranks if and only if it strongly preserves a Boolean rank k with
.
5
COMPARISON OF NUMERICAL METHODS (BI-CGSTAB, OS, MG) FOR THE 2D BLACK-SCHOLES EQUATION
Jeong, Darae ; Kim, Sungki ; Choi, Yongho ; Hwang, Hyeongseok ; Kim, Junseok ;
The Pure and Applied Mathematics, volume 21, issue 2, 2014, Pages 129~139
DOI : 10.7468/jksmeb.2014.21.2.129
Abstract
In this paper, we present a detailed comparison of the performance of the numerical solvers such as the biconjugate gradient stabilized, operator splitting, and multigrid methods for solving the two-dimensional Black-Scholes equation. The equation is discretized by the finite difference method. The computational results demonstrate that the operator splitting method is fastest among these solvers with the same level of accuracy.
6
COMPLETE MONOTONICITY OF A DIFFERENCE BETWEEN THE EXPONENTIAL AND TRIGAMMA FUNCTIONS
Qi, Feng ; Zhang, Xiao-Jing ;
The Pure and Applied Mathematics, volume 21, issue 2, 2014, Pages 141~145
DOI : 10.7468/jksmeb.2014.21.2.141
Abstract
In the paper, by directly verifying an inequality which gives a lower bound for the first order modified Bessel function of the first kind, the authors supply a new proof for the complete monotonicity of a difference between the exponential function
and the trigamma function
on (0,
).