ON FUZZY k-IDEALS, k-FUZZY IDEALS AND FUZZY 2-PRIME IDEALS Gamma-SEMIRINGS

被引:0
|
作者
Rao, M. Murali Krishna [1 ]
Venkateswarlu, B. [1 ]
机构
[1] GITAM Univ, GIT, Dept Math, Visakhapatnam 530045, Andhra Pradesh, India
来源
关键词
Gamma-semiring; fuzzy 2-prime ideal; k-fuzzy ideal; fuzzy k-ideal;
D O I
10.14317/jami.2016.405
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The notion of Gamma-semiring was introduced by M. Murali Krishna Rao [8] as a generalization of Gamma-ring as well as of semiring. In this paper fuzzy k-ideals, k-fuzzy ideals and fuzzy-2-prime ideals in Gamma-semirings have been introduced and study the properties related to them. Let mu be a fuzzy k-ideal of Gamma-semiring M with |Im(mu)| = 2 and mu(0) = 1. Then we establish that M-mu, is a 2-prime ideal of Gamma-semiring M if and only if mu is a fuzzy prime ideal of Gamma-semiring M.
引用
收藏
页码:405 / 419
页数:15
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