2014•Journal of Intelligent & Fuzzy SystemsRequires access

On prime soft bi-hyperideals of semihypergroups

Shafaq Naz, Muhammad Shabir

Open publisher page 21 citations

Abstract

In this paper, we introduce prime, strongly prime, semiprime, irreducible and strongly irreducible soft bi-hyperideals of a semihypergroup over an initial universe U. We characterize regular and intra-regular semihypergroups in terms of these soft bi-hyperideals.

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What this paper is about

In this paper, we introduce prime, strongly prime, semiprime, irreducible and strongly irreducible soft bi-hyperideals of a semihypergroup over an initial universe U. We characterize regular and intra-regular semihypergroups in terms of these soft bi-hyperideals.

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Available abstract

In this paper, we introduce prime, strongly prime, semiprime, irreducible and strongly irreducible soft bi-hyperideals of a semihypergroup over an initial universe U. We characterize regular and intra-regular semihypergroups in terms of these soft bi-hyperideals.

Key concepts: Semiprime, Prime (order theory), Mathematics, Pure mathematics, Combinatorics

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