Anti fuzzy ideal extension of semigroups

Document Type : Research Paper

Authors

1 Tarangapur N.K High School, Tarangapur, Uttar Dinajpur, West Bengal-733129, INDIA

2 Department of Mathematics, Jadavpur University, Kolkata-700032, INDIA

3 Department of Mathematics, Jadavpur University, Kolkata-700032, India

Abstract

In this paper the concepts of anti fuzzy l-prime ideals, anti fuzzy semiprime ideals and anti fuzzy ideal extensions in a
semigroup have been introduced. They are found to satisfy characteristic function criterion and anti level subset criterion. Here some properties of anti fuzzy ideal extension of a semigroup have been investigated in terms of anti fuzzy l-prime and anti fuzzy semiprime ideals. Among other results we obtain characterization of l-prime ideals of a semigroup in terms of anti fuzzy ideal extension.

Keywords