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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 7, Issue 2 - Nov 2000
Volume 7, Issue 1 - May 2000
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1
A RADO TYPE EXTENSION OF HOLDERS INEQUALITY
Kwon, Ern-Gun ; Yoon, Kang-Hee ;
The Pure and Applied Mathematics, volume 7, issue 1, 2000, Pages 1~6
Abstract
An extension of
inequality whose discrete form is described as follows is given. Let
be a positive measure on a space Y,
, and let
(j = 1,2,...,n) be positive ν-integrable functions on Y. If
> 0(j = 1,2,...,n) and
(j = 1,2,...,k < n) are related to be (equation omitted) then (equation omitted).
2
CHARACTERIZATION OF CR SUBMANIFOLD IN A COMPLEX PROJECTIVE SPACE IN TERMS OF RICCI TENSORS
Choe, Yeong-Wu ; Lee, Hyun-Jin ;
The Pure and Applied Mathematics, volume 7, issue 1, 2000, Pages 7~18
Abstract
Let M be an n-dimensional CR submanifold CR dimension n - l of a complex projective space M. We characterize M of
in terms of an estimations of the length of the derivative of Ricci tensor of the length of Ricci tensor.
3
A STUDY ON THE BOOLEAN ALGBRAS IN THE FRAENKEL-MOSTOWSKI TOPOS
Kim, Ig-Sung ;
The Pure and Applied Mathematics, volume 7, issue 1, 2000, Pages 19~26
Abstract
The purpose of the paper is to show that in the Fraenkel-Mostowski topos, the category of the Boolean algebras has enough injectives.
4
CERTAIN REAL QUADRATIC FLELDS WITH CLASS NUMBERS 1, 3 AND 5
Park, Joong-Soo ;
The Pure and Applied Mathematics, volume 7, issue 1, 2000, Pages 27~32
Abstract
The quadratic fields generated by
=ax+1(
1) are studied. The regulators are relatively small and are known at one. The class numbers are relatively large and easy to compute. We shall find all the values of p, where p=
+4 is a prime in
, such that
has class numbers 1, 3 and 5.
5
ON FUZZY QUOTIENT RINGS AND CHAIN CONDITIONS
Lee, Kyoung-Hee ;
The Pure and Applied Mathematics, volume 7, issue 1, 2000, Pages 33~40
Abstract
We prove some characterization of rings with chain conditions in terms of fuzzy quotient rings and fuzzy ideals. We also show that a ring R is left Artinian if and only of the set of values of every fuzzy ideal on R is upper well-ordered.
6
A VERSION OF A CONVERSE MEASURABILITY FOR WIENER SPACE IN THE ABSTRACT WIENER SPACE
Kim, Bong-Jin ;
The Pure and Applied Mathematics, volume 7, issue 1, 2000, Pages 41~47
Abstract
Johnson and Skoug [Pacific J. Math. 83(1979), 157-176] introduced the concept of scale-invariant measurability in Wiener space. And the applied their results in the theory of the Feynman integral. A converse measurability theorem for Wiener space due to the
and Yeh-Wiener space due to Skoug[Proc. Amer. Math. Soc 57(1976), 304-310] is one of the key concept to their discussion. In this paper, we will extend the results on converse measurability in Wiener space which Chang and Ryu[Proc. Amer. Math, Soc. 104(1998), 835-839] obtained to abstract Wiener space.
7
ISOMORPHISMS OF CERTAIN TRIDIAGONAL ALGEBRAS
Choi, Taeg-Young ; Kim, Si-Ju ;
The Pure and Applied Mathematics, volume 7, issue 1, 2000, Pages 49~60
Abstract
We will characterize isomorphisms from the adjoint of a certain tridiag-onal algebra
onto
. In this paper the following are proved: A map
is an isomorphism if and only if there exists an operator S in
with all diagonal entries are 1 and an invertible backward diagonal operator B such that
.
8
REGULAR CLOSED BOOLEAN ALGEBRA IN SPACE WITH ONE POINT LINDELOFFICATION TOPOLOGY
Gao, Shang-Min ;
The Pure and Applied Mathematics, volume 7, issue 1, 2000, Pages 61~69
Abstract
Let(
) be the space with one point Lindeloffication topology of space (X,
). This paper offers the definition of the space with one point Lin-deloffication topology of a topological space and proves that the retraction regu-lar closed function f:
) defined f(
if p
or (
if
is a homomorphism. There are two examples in this paper to show that the retraction regular closed function f is neither a surjection nor an injection.