| Characterization of Monoids by C(P) Acts |
| Received:February 26, 2001 |
| Key Words:
regular right acts C（P） act P（P） monoids.
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2004.01.019 |
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