On strongly (P)-cyclic acts
Akbar Golchin, Parisa Rezaei, Hossein Mohammadzadeh Saany · Czechoslovak Mathematical Journal · 2009
By a regular act we mean an act such that all its cyclic subacts are projective. In this paper we introduce strong ( P )-cyclic property of acts over monoids which is an extension of regularity and give a classification of monoids by this property of their right (Rees factor) acts.