Characterizations of semigroups by the properties of their -fuzzy ideals

Document Type: Regular Paper

Authors

Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

Abstract

Generalizing the notions of -fuzzy left (right) ideal, -fuzzy quasi-ideal, and -fuzzy bi-ideal, the notions of -fuzzy left (right) ideal, -fuzzy quasi-ideal and -fuzzy bi-ideal of semigroups are defined. Regular, intra regular and semisimple semigroups are characterized by the properties of these fuzzy ideals.

Keywords