C(P)系对幺半群的刻画

Characterization of Monoids by C(P) Acts

中文关键词:  正则右系  C（P）系  P（P）幺半群

英文关键词:regular right acts  C（P） act  P（P） monoids.

中文摘要:

      设S是幺半群.本文介绍并研究了正则右系的一个推广.一个右S-系A称为C(P)系,如果A的所有循环子系满足条件(P).本文证明了右C(P)系形成了右S-系的一个新的类,同时,C(P)性质为幺半群同调分类研究提供了新思路.

英文摘要:

      Let 5 be a monoid. This paper introduces and investigates a generalization of regular right S-acts. A right S-act A is a C(P) act if all cyclic subacts of A satisfy condition (P). It is shown that right C(P) acts form a new class of right S-acts. The paper also takes C(P) property as a new club for homological classification of monoids.