Ordered Γ-Semigroups and Fuzzy Γ-Ideals

被引：2

作者：

Mahboob, Ahsan ^{[1
]}

Davvaz, Bijan ^{[2
]}

Khan, Noor Mohammad ^{[3
]}

机构：

[1] Madanapalle Inst Technol & Sci, Dept Math, Madanapalle 517325, India

[2] Yazd Univ, Dept Math, Yazd, Iran

[3] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS | 2021年 / 16卷 / 02期

关键词：

Ordered Gamma-semigroups; Right weakly regular ordered Gamma-Semigroups; Fuzzy sets; Fuzzy Gamma-ideals; BI-IDEALS; TERMS;

D O I：

10.29252/ijmsi.16.2.129

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页码：145 / 162

页数：18

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