FUZZY IDEALS AND FUZZY PRIME IDEALS OF A RING

被引：46

作者：

DIXIT, VN

KUMAR, R

AJMAL, N

机构：

[1] Department of Mathematics, University of Delhi, Delhi

来源：

FUZZY SETS AND SYSTEMS | 1991年 / 44卷 / 01期

关键词：

LEVEL SUBSET; FUZZY IDEAL; FUZZY PRIME IDEAL; FUZZY MAXIMAL IDEAL; F-INVARIANT FUZZY SUBSET; FUZZY COSETS OF A FUZZY IDEAL;

D O I：

10.1016/0165-0114(91)90038-R

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Besides obtaining certain ring theoretic analogues, some peculiarities of the fuzzy setting are also discussed. In particular, a study of (i) the conditions under which a given fuzzy ideal can or cannot be expressed as a union of two proper fuzzy ideals, (ii) the algebraic nature of images and preimages of fuzzy prime ideals under homomorphisms, and (iii) the ring of all the fuzzy cosets of a fuzzy prime (fuzzy maximal) ideal, is carried out.

引用

页码：127 / 138

页数：12

共 15 条

[1] A CHARACTERIZATION OF FUZZY SUBGROUPS [J].