On bi-bases of Γ-semihypergroups

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Sarakam Apipray; Kothep Pongpich; Hobanthad Samkhan

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Journal Paper

Paper Information

Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2024 | Volume:19 | Issue:2 Page(s): 41-50

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Information Journal Paper

Title

On bi-bases of Γ-semihypergroups

Author(s)

Sarakam Apipray | Kothep Pongpich | Hobanthad Samkhan | Issue Writer Certificate

Keywords

Γ–semihypergroup

bi–bases

sub–Γ–semihypergroup

Abstract

This paper focuses on the Γ–semihypergroups. Our goal seeks to find the conditions of sub–Γ–semihypergroup using bi–bases properties. We provide definitions and explain some properties of bi–bases in Γ– semihypergroups. The findings extend the results from bi–bases of Γ– semigroups. The findings demonstrate that if B is a bi–bases of a Γ– semihypergroup H,then, B is a sub–Γ–semihypergroup of H if and only if for any b, c ∈ B and γ ∈ Γ, b ∈ bγc or c ∈ bγc.

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