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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 12, Issue 4 - Nov 2005
Volume 12, Issue 3 - Aug 2005
Volume 12, Issue 2 - May 2005
Volume 12, Issue 1 - Feb 2005
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1
K-THEORY OF CROSSED PRODUCTS OF C*-ALGEBRAS
SUDO TAKAHIRO ;
The Pure and Applied Mathematics, volume 12, issue 1, 2005, Pages 1~15
Abstract
We study continuous fields and K-groups of crossed products of C＊-algebras. It is shown under a reasonable assumption that there exist continuous fields of C＊ -algebras between crossed products of C＊ -algebras by amenable locally compact groups and tensor products of C＊ -algebras with their group C＊ -algebras, and their K-groups are the same under the additional assumptions.
2
COMMON FIXED POINT IN FUZZY METRIC SPACES
SHARMA SUSHIL ; TIWARI JAYESH K. ;
The Pure and Applied Mathematics, volume 12, issue 1, 2005, Pages 17~31
Abstract
In this paper we prove common fixed point theorems for three mappings under the condition of weak compatible mappings, without taking any function continuous in fuzzy metric space and then extend this result to fuzzy 2-metric space and fuzzy 3-metric space.
3
INTUITIONISTIC H-FUZZY SETS
HUR KUL ; KANG HEE WON ; RYOU JANG HYUN ;
The Pure and Applied Mathematics, volume 12, issue 1, 2005, Pages 33~45
Abstract
We introduce the category ISet(H) of intuitionistic H-fuzzy sets and show that ISet(H) satisfies all the conditions of a topological universe except the terminal separator property. And we study the relation between Set(H) and ISet(H).
4
A FUNCTIONS AND ITS GRAPH FUCTION
CHAE G. I. ; SINGH V. P. ; PARK Y. S. ; GIHARE R. P. ;
The Pure and Applied Mathematics, volume 12, issue 1, 2005, Pages 47~55
Abstract
For topological spaces X, Y and the function f : X → Y, it induces a function gr(f) : X → X x Y defined as gr(f)(χ) = (χ, f(χ)), for every χ ∈ X. It deals with some preliminary investigations relating to the behavior of functions and its graph functions. It has also been found that continuous functions are homotopic if and only if their graph functions are homotopic.
5
ON A CLASS OF MEROMORPHICALLY P-VALENT STARLIKE FUNCTIONS
Xu NENG ; YANG DINGGONG ;
The Pure and Applied Mathematics, volume 12, issue 1, 2005, Pages 57~63
Abstract
Let ∑(p)(p ∈ N) be the class of functions f(z) = z/sup -p/ + α/sub 1-p/ z/sup 1-p/ + α/sub 2-p/z/sup 2-p/ + ... analytic in 0 < ｜z｜ < 1 and let M(p, λ, μ)(0 < λ≤ 2 and 2λ(λ - 1) ≤ μ ≤ λ²) denote the class of functions f(z) ∈ ∑(p) which satisfy (equation omitted). The object of the present paper is to derive some properties of functions in the class M(p, λ, μ).
6
A NOTE ON THE ROOT SPACES OF AFFINE LIE ALGEBRAS OF TYPE
KIM YEONOK ;
The Pure and Applied Mathematics, volume 12, issue 1, 2005, Pages 65~73
Abstract
Let g = g(A) = (equation omitted) + be a symmetrizable Kac-Moody Lie algebra of type D/sub l//sup (1) with W as its Weyl group. We construct a sequence of root spaces with certain conditions. We also find the number of terms of this sequence is less then or equal to the hight of θ, the highest root.
7
FUZZY CONVERGENCE THEORY - I
MONDAL K. K. ; SAMANTA S. K. ;
The Pure and Applied Mathematics, volume 12, issue 1, 2005, Pages 75~91
Abstract
The main objective of this paper is to introduce the gradation of neigh-bourhoodness in L-fuzzy topology and to introduce the fuzziness in the concept of convergence of L-fuzzy nets.