Fuzzy ∗–ideals and their applications in characterizing abundance and regularity of a semigroup-Reference-Cited by-同舟云学术

Fuzzy ∗–ideals and their applications in characterizing abundance and regularity of a semigroup

Published:2021-06-21 Issue:6 Volume:40 Page:11559-11566
ISSN:1064-1246
Container-title:Journal of Intelligent & Fuzzy Systems
language:
Short-container-title:IFS

Author:

Li Chunhua¹,Xu Baogen¹,Huang Huawei²

Affiliation:

1. School of Science, East China JiaotongUniversity, Nanchang, Jiangxi, China

2. School of Mathematics & Computer Science, Guizhou Normal University, Guiyang, Guizhou, China

Abstract

In this paper, the notion of a fuzzy *–ideal of a semigroup is introduced by exploiting generalized Green’s relations L * and R * , and some characterizations of fuzzy *–ideals on an arbitrary semigroup are obtained. Our main purpose is to establish the relationship between fuzzy *–ideals and abundance for an arbitrary semigroup. As an application of our results, we also give some new necessary and sufficient conditions for an arbitrary semigroup to be regular and inverse, respectively.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

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