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Fuzzy Multiplication Γ-semigroups

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1Department of Mathematics, Federal University Lokoja, Kogi State, Nigeria2Department of Mathematics, Joseph Sarwuan Tarka University, Makurdi, Nigeria

* Corresponding Author: J. A. Awolola. Email:

Annals of Communications in Mathematics 2024, 7 (4), 386-392. https://doi.org/10.62072/acm.2024.070406

Received: 08 Oct 2024 |

Accepted: 06 Nov 2024 |

Published: 31 Dec 2024

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Abstract

The concept of fuzzy right multiplication Γ-semigroup is introduced by means of fuzzy right Γ-ideals, and some properties are investigated with the help of some classes of Γ-semigroups. It is shown that for any fuzzy right Γ-ideal ϑ of X, ϑ ⊆ X ◦Γ ϑ. More- over, if a Γ-semigroup X is simple with a ∈ aΓX for every a ∈ X, then X is a fuzzy right multiplication Γ-semigroup.

Keywords

cancellative; fuzzy Γ-ideals; idempotent; Multiplication Γ-semigroup; Regular

Cite This Article

M. A. Ibrahim, J. A. Awolola.

Fuzzy Multiplication Γ-semigroups.

Annals of Communications in Mathematics

2024,

7 (4):

386-392.

https://doi.org/10.62072/acm.2024.070406

Copyright © 2024 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).