TITLE:
On P-Regularity of Acts
AUTHORS:
Akbar Golchin, Hossein Mohammadzadeh, Parisa Rezaei
KEYWORDS:
P-Regularity; Rees Factor Act
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.2 No.2,
March
22,
2012
ABSTRACT: By a regular act we mean an act that all its cyclic subacts are projective. In this paper we introduce P-regularity of acts over monoids and will give a characterization of monoids by this property of their right (Rees factor) acts.