FUZZY PRIMARY REPRESENTATIONS OF FUZZY IDEALS

被引：23

作者：

MALIK, DS

MORDESON, JN

机构：

[1] Department of Mathematics and Computer Science, Creighton University, Omaha, 68178, Nebraska

来源：

INFORMATION SCIENCES | 1991年 / 55卷 / 1-3期

关键词：

D O I：

10.1016/0020-0255(91)90011-I

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Let R be a commutative ring with identity, and let A be a fuzzy ideal of R. Then A is said to have a fuzzy primary representation if A is the intersection of a finite number of fuzzy primary ideals. We show that every fuzzy ideal A of R such that A(0) = 1 has a fuzzy primary representation if and only if R is artinian. We show that uniqueness properties for reduced primary representations of ideals (in the usual sense) carry over to fuzzy ideals. © 1991.

引用

页码：151 / 165

页数：15

共 8 条

[1]

BARNES WE, 1963, INTRO ABSTRACT ALGEB

[2] L-FUZZY CATEGORY [J].