Characterization of Weakly Regular S-acts

Authors : İmran KHALİQ, Muhammad SHABİR, Gulshad IMRAN

Pages : 754-762

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Publication Date : 2014-10-01

Article Type : Research Paper

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.
Keywords : S acts, Monoids, Projective S acts, Weakly regular S acts