ON SOME PROPERTIES OF NORMAL Γ-IDEALS IN NORMAL Γ-SEMIGROUPS

被引：0

作者：

Basar, A. ^{[1
]}

Abbasi, M. Y. ^{[1
]}

机构：

[1] Jamia Millia Islamia, Dept Math, Fac Nat Sci, New Delhi 110025, India

来源：

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2019年 / 9卷 / 03期

关键词：

Gamma-semigroup; normal ideal;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the concept of normal Gamma-ideal and bi-Gamma-ideal in normal Gamma-semigroups semigroups. We characterize the (normal) Gamma-semigroup and normal regular Gamma-semigroup in terms of elementary properties of bi-Gamma-ideal proving the various equivalent conditions. In particular, we establish, among the other things, that if I-1, I-2 are any two normal Gamma-ideals of a Gamma-semigroup S, then their product I-1 Gamma I-2 and I-2 Gamma I-1 are also normal Gamma-ideals of S and I-1 Gamma I-2 = I-2 Gamma I-1. Finally, we show that the minimal normal Gamma-ideal of a Gamma-semigroup S is a Gamma-group.

引用

页码：455 / 460

页数：6

共 27 条

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