CORRESPONDENCE THEOREM FOR FUZZY IDEALS

被引：25
|
作者：
KUMBHOJKAR, HV [1 ]
BAPAT, MS [1 ]
机构：
[1] WILLINGDON COLL,MAHAARASHTRA 416415,INDIA
来源：
FUZZY SETS AND SYSTEMS | 1991年 / 41卷 / 02期
关键词：
FUZZY IDEALS; COSETS OF FUZZY IDEAL;
D O I：
10.1016/0165-0114(91)90225-F
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The ring R/J of cosets of a fuzzy ideal J of a ring R is defined and shown to be isomorphic to a factor ring of R in a natural way. If f:R --> R' is an epimorphism of rings, a one-to-one order preserving correspondence is established between the fuzzy ideals of R' and those of R which are constant on the kernel of f. This generalizes the correspondence theorem of (non-fuzzy) ideals.
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页码：213 / 219
页数：7
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