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Soft Intersection Interior Ideals, Quasi-ideals and Generalized Bi-Ideals: A New Approach to Semigroup Theory II
Aslihan Sezgin Sezer, Naim Cagman and Akin )sman Atagun

In this paper, we define soft intersection interior ideals, quasi-ideals and generalized bi-ideals of semigroups, obtain their properties and give the interrelations of them. Moreover, we characterize regular, intra-regular, completely regular, weakly regular and quasi-regular semigroups in terms of these ideals.

Keywords: Soft set, soft intersection interior ideals, soft intersection quasiideals, soft intersection generalized bi-ideals, regular semigroups

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