On left permutable inverse LA-semigroups

被引：0
|
作者：
Younas, Irfan [1 ]
Mushtaq, Qaiser [2 ]
机构：
[1] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
[2] Islamia Univ Bahawalpur, Bahawalpur 63100, Pakistan
来源：
MAEJO INTERNATIONAL JOURNAL OF SCIENCE AND TECHNOLOGY | 2019年 / 13卷 / 01期
关键词：
inverse LA-semigroup; partial order; order ideal; infinitely distributive; compatibility relation; DECOMPOSITION;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We investigate some fundamental properties of left permutable inverse LA-semigroups in which inverses commute. We prescribe a natural partial order and order ideal on an inverse LA-semigroup. Then we use the partial order to show that the set of idempotent elements in a left permutable inverse LA-semigroup is an order ideal. Also, we introduce the compatibility relations to ascertain important characteristics of meets and joins in the left permutable inverse LA-semigroups. Finally, we establish the conditions under which a left permutable inverse LA-semigroup is infinitely distributive.
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页码：10 / 18
页数：9
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