Uni-soft (quasi) ideals of semigroups

Abstract

The notions of uni-soft semigroups, uni-soft left (right) ideals and uni-soft quasi ideals are introduced, and related properties are investigated. Characterizations of uni-soft semigroups, uni-soft left (right) ideals and uni-soft quasi ideals are discussed. A regular semigroup is characterized by the notion of a uni-soft quasi ideal. Mathematics Subject Classification: 06D72, 20M99, 20M12

On uni-soft (quasi) ideals of AG-groupoids

“…Recently, In 2013 C. S. Kim [10] initiated the notions of uni-soft semigroups, uni-soft left(right) ideals and uni-soft quasi ideals of semigroups. The main purpose of this paper is to apply the notions initiated by C. S. Kim [10], to a class of non-associative algebraic structure(i-e AG-groupoid) and derive some related results.…”