On weakly regular semi group

被引：1
|
作者：
Ahmad, Shaimaa H. [1 ]
Mahmood, Raida D. [1 ]
Khalil, Shahla M. [1 ]
机构：
[1] Univ Mosul, Coll Comp Sci & Math, Dept Math, Mosul 41002, Iraq
来源：
JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY | 2021年 / 24卷 / 06期
关键词：
Fuzzy ideal; Fuzzy interior; Bi-ideal;
D O I：
10.1080/09720529.2021.1957179
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A semi group K is defined to be right (left) weakly regular if for all a is an element of K, a is an element of aKaK(a is an element of KaKa). In this paper, we show the following results: Let K be a W- regular semi group. Then: (1) Any AF interior ideal lambda of K is, a) idempotent. b) l* M <= lambda boolean OR M for any AF right ideal M of K. c) ( lambda* M) boolean OR (M* lambda) <= lambda boolean OR M for any AF interior ideal M of K. (2) lambda* K * lambda= lambda, for any AF bi-ideal lambda of K.
引用
收藏
页码：1837 / 1843
页数：7
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