半群张量积的极大群和右群同态象  

THE MAXIMAL GROUP AND RIGHT GROUP HOMOMORPHICIMARGE OF THE TENSOR PRODUCTS OF SEMIGROUPS

作　　者：王德胜 

机构地区：[1]山东师大数学系

出　　处：《山东师范大学学报（自然科学版）》1991年第2期18-21,共4页Journal of Shandong Normal University(Natural Science)

摘　　要：本文主要证明了(1)若S和T为任意两个纯整半群、常规半群及其它特殊正则半群,G和H分别为其极大群同态象,则G(×)H为S(×)的极大群同态象;(2)若S和T为两个幂等元集合为矩形带的正则半群,G和H分别为其极大右群同态象,则G(×)H为S(×)T的极大右群同态象。In the paper we have proved: (1) If S and T are two orthodox, conventional, and other special semigroups, G and H are respectively their maximal group homomorphic images, then G(?)H is the maximal image of S(?)T; (2) If S and T are rectangular bands, G and H are their maximal right group homomorphic images, then G(?)H is the maximal right group homomorphic imgage of S(?)T.

关 键 词：常规半群 极大群 右群 E-可逆半群 

分 类 号：O152.7[理学—数学]