Characterization of Weakly Regular S-acts

Yıl 2014, Cilt: 43 Sayı: 5, 754 - 762, 01.10.2014

İmran Khaliq Muhammad Shabir Gulshad Imran

Öz

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.

Anahtar Kelimeler

S-acts, Monoids, Projective S-acts, Weakly regular S-acts

Kaynakça

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