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.
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页码：127 / 138
页数：12
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