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.

引用

页码：105 / 114

页数：10

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