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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 :
Moon-Ja Jeong
Volume & Issues
Volume 14, Issue 4 - Nov 2007
Volume 14, Issue 3 - Aug 2007
Volume 14, Issue 2 - May 2007
Volume 14, Issue 1 - Feb 2007
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1
INTUITIONISTIC FUZZY SEMIPRIME IDEALS OF A SEMIGROUPS
Ahn, Tae-Chon ; Hur, Kul ; Kang, Hak-Soo ;
The Pure and Applied Mathematics, volume 14, issue 3, 2007, Pages 139~151
Abstract
We introduce the concept of intuitionistic fuzzy semiprimality of a semigroup which is an extension of semiprimality in it. And we obtain a characterization of a semigroup that is a semilattice of simple semigroups in terms of intuitionistic fuzzy semiprime interior ideals.
2
WEAK BI-IDEALS OF NEAR-RINGS
Cho, Yong-Uk ; Chelvam, T. Tamizh ; Jayalakshmi, S. ;
The Pure and Applied Mathematics, volume 14, issue 3, 2007, Pages 153~159
Abstract
The notion of bi-ideals in near-rings was effectively used to characterize the near-fields. Using this notion, various generalizations of regularity conditions have been studied. In this paper, we generalize further the notion of bi-ideals and introduce the notion of weak bi-ideals in near-rings and obtain various characterizations using the same in left self distributive near-rings.
3
INVERTIBLE INTERPOLATION ON AX = Y IN ALGL
Kang, Joo-Ho ;
The Pure and Applied Mathematics, volume 14, issue 3, 2007, Pages 161~166
Abstract
Given operators X and Y acting on a Hilbert space H, an interpolating operator is a bounded operator A such that AX = Y. An interpolating operator for n-operators satisfies the equation
, for i = 1,2,...,n. In this article, we showed the following: Let L, be a subspace lattice on a Hilbert space H and let X and Y be operators in B(H). Then the following are equivalent: (1) $$sup\{\frac{{\parallel}E^{\bot}Yf{\parallel}}{{\overline}{\parallel}E^{\bot}Xf{\parallel}}\;:\;f{\epsilon}H,\;E{\epsilon}L}\}\;<\;{\infty},\;sup\{\frac{{\parallel}Xf{\parallel}}{{\overline}{\parallel}Yf{\parallel}}\;:\;f{\epsilon}H\}\;<\;{\infty}$$ and
. (2) There exists an invertible operator A in AlgL such that AX=Y.
4
A STUDY ON FUZZY TOPOLOGY ASSOCIATED WITH A LATTICE
Mondal, Tapas Kumar ; Samanta, S.K. ;
The Pure and Applied Mathematics, volume 14, issue 3, 2007, Pages 167~189
Abstract
In this paper we define a topology (analogous to Chang-type fuzzy topology) and a fuzzy topology (analogous to
fuzzy topology) associated with a lattice and study some of their properties.
5
A FAST CONSTRUCTION OF GENERALIZED MANDELBROT SETS USING MAIN COMPONENTS WITH EPICYCLOIDAL BOUNDARIES
Geum, Young-Hee ; Lee, Kang-Sup ; Kim, Young-Ik ;
The Pure and Applied Mathematics, volume 14, issue 3, 2007, Pages 191~196
Abstract
The main components in the generalized Mandelbrot sets are under a theoretical investigation for their parametric boundary equations. Using the boundary geometries, a fast construction algorithm is introduced for the generalized Mandelbrot set. This fast algorithm definitely reduces the construction CPU time in comparison with the naive algorithm. Its graphic implementation displays the mysterious and beautiful fractal sets.
6
MINIMUM PERMANENT ON A FACE OF
CONTAINING TWO SQUARE ZERO-SUBMATRICES
Song, Sang-Hun ; Shin, Hang-Kyun ; Song, Seok-Zun ;
The Pure and Applied Mathematics, volume 14, issue 3, 2007, Pages 197~201
Abstract
In this paper, when n = 6, we will determine the minimum permanent and minimizing matrices on the face of
which contains exactly two square zero-submatrices.
7
ON A QUADRATICALLY CONVERGENT ITERATIVE METHOD USING DIVIDED DIFFERENCES OF ORDER ONE
Argyros, Ioannis K. ;
The Pure and Applied Mathematics, volume 14, issue 3, 2007, Pages 203~221
Abstract
We introduce a new two-point iterative method to approximate solutions of nonlinear operator equations. The method uses only divided differences of order one, and two previous iterates. However in contrast to the Secant method which is of order 1.618..., our method is of order two. A local and a semilocal convergence analysis is provided based on the majorizing principle. Finally the monotone convergence of the method is explored on partially ordered topological spaces. Numerical examples are also provided where our results compare favorably to earlier ones [1], [4], [5], [19].
8
EXISTENCE OF FUZZY IDEALS WITH ADDITIONAL CONDITIONS IN BCK/BCI-ALGEBRAS
Jun, Young-Bae ; Park, Chul-Hwan ;
The Pure and Applied Mathematics, volume 14, issue 3, 2007, Pages 223~230
Abstract
We give an answer to the following question: Question. Let S be a subset of [0,1] containing a maximal element m > 0 and let C :=
be a decreasing chain of ideals of a BCK/BCI-algebra X. Then does there exists a fuzzy ideal
.