Fuzzy star-operations on an integral domain

被引：5
|
作者：
Kim, H [1 ]
Kim, MO [1 ]
Park, SM [1 ]
Park, YS [1 ]
机构：
[1] Kyungpook Natl Univ, Dept Math, Taegu 702701, South Korea
来源：
FUZZY SETS AND SYSTEMS | 2003年 / 136卷 / 01期
关键词：
(fuzzy)algebra; fractionary fuzzy ideal; fuzzy invertible; fuzzy star-operation; prufer domain; PID; pseudo-Dedekind domain; (G-)GCD domain; pseudo-principal domain; DEDEKIND DOMAINS; IDEALS;
D O I：
10.1016/S0165-0114(02)00273-7
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we introduce the concept of fuzzy star-operations on an integral domain and show that the set of all fuzzy star-operations on the integral domain forms a complete lattice. We also characterize Prufer domains, psuedo-Dedekind domains, (generalized-) greatest common divisor domains, and other integral domains in terms of the invertibility of certain fractionary fuzzy ideals. (C) 2002 Elsevier Science B.V. All rights reserved.
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页码：105 / 114
页数：10
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