We generalize the concept of weakly regularity in semigroups to S-acts, where S is a monoid. We prove among other results that if a monoid is von-Neumann regular then weakly regularity and von-Neumann regularity, in the context of S-acts, coincide. We also define locally projective S-acts, which is the generalization of projective S-acts. We consider many relationships between weakly regular S-acts and locally projective S-acts.
|Number of pages||9|
|Journal||Hacettepe Journal of Mathematics and Statistics|
|Publication status||Published - 1 Jan 2014|
- Projective S-acts
- Weakly regular S-acts