右(左)逆半群的半直积及圈积  

Semidirect and Wreath Products of Left(Right)Inverse Monoids

作　　者：王德胜[1] 张玉芬[1] 

机构地区：[1]山东师范大学教学研究所,济南250014

出　　处：《数学研究》1998年第2期216-220,共5页Journal of Mathematical Study

摘　　要：给出了两个幺半群的半直积及圈积为右（左）逆半群的充分必要条件，从而推广了[2]中两个幺半群的半幺直积和圈积为逆半群的充分必要条件．Necessary and sufficient conditions are detemined for the semidirect and wreath products of two monoids to be left(right)inverse monoids. Weaker sufficient conditions are obtained for the semidirect products of two monoids to be inverse monoids than those given in [2].

关 键 词：逆半群 半直积 幺半群 充分必要条件 圈积 推广 

分 类 号：O152.7[理学—数学] O151.21[理学—基础数学]