دوره 16، شماره 2 - ( 7-1400 )
جلد 16 شماره 2 صفحات 162-145 |
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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-fa.html
URL: http://ijmsi.ir/article-1-1295-fa.html
Ordered Γ-Semigroups and Fuzzy Γ-ideals. مجله علوم ریاضی و انفورماتیک. 1400; 16 (2) :145-162
چکیده:
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.
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