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- W4221152090 abstract "Following G.Szasz [2] a subsemigroup I of semigroup S is called an interior ideal if SIS subset I. In this paper we explore the classes of regular semigroup and its different subclasses by their interior ideals. Furthermore, we introduce the strongly prime, prime, semiprime, strongly irreducible, and irreducible interior ideals of semigroups and also characterize those semigroups for which each interior ideal is strongly prime. Some important interplay between the classes of all interior ideals and other ideals are given here. In addition to this, we present different characterizations of semigroups by their minimal interior ideals." @default.
- W4221152090 created "2022-04-03" @default.
- W4221152090 creator A5073426590 @default.
- W4221152090 date "2022-02-17" @default.
- W4221152090 modified "2023-10-16" @default.
- W4221152090 title "Interior ideal in regular and intra regular semigroup" @default.
- W4221152090 doi "https://doi.org/10.48550/arxiv.2202.08484" @default.
- W4221152090 hasPublicationYear "2022" @default.
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