强π-逆半直积  

Strongly π-Inverse Semidirect Product

作　　者：刘加云[1] 张玉芬[1] 

机构地区：[1]山东师范大学数学系,山东济南250014

出　　处：《数学研究》2003年第4期422-427,共6页Journal of Mathematical Study

基　　金：山东省教委科技计划项目(J01P01)

摘　　要：给出两个半群S和T的半直积是强π-逆半群,强-π-E-酉逆半群和E-酉逆半群的充要条件,同时还讨论了E-酉逆半群的最小群同余与半直积的最小群同余之间的关系.This paper gives necessary and sufficient conditions for the semidirect products of semigroups S and T to be strongly π-inverse semigroup, strongly π-E-unitary inverse semigroup and E-unitary inverse semigroup. Furthermore, this paper dicusses the relation between the minimum group congruences of the E-unitary inverse semigroup and the semidirect product.

关 键 词：强π-逆半群 强π-E-酉逆半群 E-酉逆半群 半直积 

分 类 号：O152.7[理学—数学]