Relative Ideals in Ordered Semigroups

被引：2

作者：

Ali, Md Firoj ^{[1
]}

Khan, Noor Mohammad ^{[1
]}

Mahboob, Ahsan ^{[1
]}

机构：

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

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2020年 / 51卷 / 04期

关键词：

Ordered semigroups; ideals; relative ideals; relatively prime and relatively weakly prime ideals; maximal and minimal relative ideals; GAMMA-HYPERIDEALS;

D O I：

10.1007/s13226-020-0478-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, after introducing the notion of relative ideals in ordered semigroups, some important properties of these ideals are studied. Then notions of relatively prime and relatively weakly prime ideals are defined and some vital results have been proved. We also find some conditions under which relative ideals become left, right and two-sided ideals in any regular ordered semigroup. Finally, the notion of maximal and minimal relative ideals are introduced and some of their properties are studied.

引用

页码：1497 / 1514

页数：18

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