Abstract
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.
Original language | English |
---|---|
Pages (from-to) | 754-762 |
Number of pages | 9 |
Journal | Hacettepe Journal of Mathematics and Statistics |
Volume | 43 |
Issue number | 5 |
Publication status | Published - 1 Jan 2014 |
Externally published | Yes |
Keywords
- Monoids
- Projective S-acts
- S-acts
- Weakly regular S-acts