Characterization of Weakly Regular S-acts
Imran Khaliq, Muhammad Shabir, Gulshad Imran · DergiPark (Istanbul University) · 2014
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.