FUZZY COSETS AND SOME FUZZY RADICALS

被引：5

作者：

KUMAR, R

机构：

[1] Department of Mathematics, P.G.D.A.V. College (E), University of Delhi, New Delhi, 110 065, Nehru Nagar, Ring Road

来源：

FUZZY SETS AND SYSTEMS | 1992年 / 46卷 / 02期

关键词：

FUZZY PRIME IDEAL; FUZZY MAXIMAL IDEAL; FUZZY NIL RADICAL; FUZZY COSET; JACOBSON RADICAL; PRIME RADICAL;

D O I：

10.1016/0165-0114(92)90139-U

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

An attempt is made to formulate fuzzy versions of Jacobson and prime radicals of a ring. Certain basic results pertaining to the notions of Jacobson and prime radicals of a ring are extended to the fuzzy setting. In particular the following is obtained: the Jacobson radical (prime radical) of the ring of fuzzy cosets of mu in R is zero, where R is a commutative ring with identity and mu is the fuzzy Jacobson radical (fuzzy prime radical) of R.

引用

页码：261 / 265

页数：5

共 24 条

[1] ON TERT-FUZZY SUBFIELD AND TERT-FUZZY VECTOR SUBSPACES [J].