Volume 16, Issue 2 (10-2021)
IJMSI 2021, 16(2): 145-162 |
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Mahboob A, Davvaz B, Khan N M. Ordered Γ-Semigroups and Fuzzy Γ-ideals. IJMSI 2021; 16 (2) :145-162
URL: http://ijmsi.ir/article-1-1295-en.html
URL: http://ijmsi.ir/article-1-1295-en.html
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.
Type of Study: Research paper |
Subject:
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