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.

引用

页码：213 / 219

页数：7

共 14 条

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