Ordered Γ-Semigroups and Fuzzy Γ-ideals

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

We prove that every fuzzy generalized bi-Γ-ideal and every fuzzy interior Γ-ideal in a right weakly regular ordered Γ-semigroup is a fuzzy Γ-ideal. We also show that every fuzzy generalized bi-Γ-ideal in a duo right weakly regular ordered Γ-semigroup is a fuzzy interior Γ-ideal. Then, by using fuzzy Γ-ideals, fuzzy bi-Γ-ideals, fuzzy generalized bi-Γ-ideals and fuzzy interior Γ-ideals, left simple, right simple and simple ordered Γ-semigroups have been characterized. Finally we characterize right weakly regular ordered Γ-semigroup by its fuzzy Γ-ideals, fuzzy bi-Γ-ideals, fuzzy generalized bi-Γ-ideals and fuzzy interior Γ-ideals.

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:16 Issue: 2, Nov 2021
Pages:
145 to 162
https://www.magiran.com/p2334804