Inverse Semihypergroups

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Inverse Semihypergroups

Abughazalah, Nabilah Hani

WSEAS Transactions Mathematics, 10/2020, Volume: 19

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The concept of inverse semihypergroup is a generalization of the concept of inverse semigroup. In this paper we defined an orthodox semihypergroup S as it is a regular semihypergroup in which the set of idempotents of S forms a subsemihypergroup. We also presented a new definition of inverse semihypergroup S as each element x ∈ S has a unique inverse s −1 in S, and we provided many results related to inverse semihypergroups, regular semihypergroups and orthodox semihypergroups

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Abughazalah, Nabilah Hani

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