Analysis of semigroups with soft intersection ideals

Abstract

In this paper, semisimple semigroups, duo semigroups, right (left) zero semigroups, right (left) simple semigroups, semilattice of left (right) simple semigroups, semilattice of left (right) groups and semilattice of groups are characterized in terms of soft intersection semigroups, soft intersection ideals of semigroups. Moreover, soft normal semigroups are defined and some characterizations of semigroups with soft normality are given.

Keywords

• soft set
• soft intersection semigroup
• soft intersection (interior, quasi, bi, generalized bi) ideal
• semisimple semigroups
• duo semigroups
• semilattice of groups
• soft normal semigroup
• 20m12