Semigroups with Soft AC-Ideals

Abstract

In this paper, we define the concepts of soft anti-covered semigroup, soft anti-covered left (right) ideal, soft anti-covered interior ideal, soft anti-covered (generalized) bi-ideal, soft anti-covered quasi-ideal of a semigroup. We investigate their properties by various examples. Moreover, we focus on the interrelations of them. We construct a new approach to anti-covered ideals of a semigroup via soft set theory.