关于半群的正则子半群的交  

ON THE INTERSECTION OF TWO REGULAR SUBSEMIGROUPS OF A SEMIGROUP

作　　者：高燕玲[1] 

机构地区：[1]青海师范大学数学系

出　　处：《青海师范大学学报（自然科学版）》1993年第4期6-11,共6页Journal of Qinghai Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目

摘　　要：本文研究半群的两个正则子半群的交及两个逆子半群的交,文中引入正则交半群及逆交半群的概念,证明了逆半群及纯正群并是正则交半群,举例说明纯正半群一般不是逆交半群。因而不是正则交半群。文中证明完全正则半群是逆交半群并提出一个猜测。In this paper, we discuss the intersection of two regular (inverse) subsemigroups of a semigroup. We proved that the inverse semigroups and the orthogroups are regular intersection semigroups, the completely regular semigroups are inverse intersection semigroups. There is an example of orthodox semigroup which is not an inverse intresection semigorup.

关 键 词：正则交半群 逆交半群 

分 类 号：N55，G658.3[自然科学总论]