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.

引用

页码：595 / 610

页数：16

共 24 条

[1] CHARACTERIZATIONS OF MONOIDS BY THE PROPERTIES OF THEIR FUZZY SUBSYSTEMS [J].