On Soft Ideals over Semigroups

被引：0
作者：
Ali, Muhammad Irfan [1 ]
Shabir, Muhammad [1 ]
Shum, K. P. [2 ]
机构：
[1] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan
[2] Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
来源：
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2010年 / 34卷 / 04期
关键词：
Soft sets; Semigroups; Ideals; Soft ideals; Regular semigroups;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A collection of ideals of a given semigroup S is called a soft ideal over S. It is easy to see that the concept of soft ideals is a more general concept than the usual concept of ideals. In this paper, we consider soft ideals, soft quasi-ideals and soft bi-ideals over a given semigroup S and obtain some interesting properties of these ideals. In particular, we characterize regular semigroups by using the above given soft ideals and as a consequence, soft regular semigroups are characterized.
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页码：595 / 610
页数：16
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