On strongly $\left(P\right)$-cyclic acts

Golchin, Akbar, Rezaei, Parisa, and Mohammadzadeh, Hossein. "On strongly $(P)$-cyclic acts." Czechoslovak Mathematical Journal 59.3 (2009): 595-611. <http://eudml.org/doc/37945>.

@article{Golchin2009,
abstract = {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.},
author = {Golchin, Akbar, Rezaei, Parisa, Mohammadzadeh, Hossein},
journal = {Czechoslovak Mathematical Journal},
keywords = {strongly $(P)$-cyclic; right $PCP$; Rees factor act; strongly cyclic acts; right PCP acts; Rees factor acts; regular acts; projective cyclic subacts; acts over monoids},
language = {eng},
number = {3},
pages = {595-611},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On strongly $(P)$-cyclic acts},
url = {http://eudml.org/doc/37945},
volume = {59},
year = {2009},
}

TY - JOUR
AU - Golchin, Akbar
AU - Rezaei, Parisa
AU - Mohammadzadeh, Hossein
TI - On strongly $(P)$-cyclic acts
JO - Czechoslovak Mathematical Journal
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 3
SP - 595
EP - 611
AB - 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.
LA - eng
KW - strongly $(P)$-cyclic; right $PCP$; Rees factor act; strongly cyclic acts; right PCP acts; Rees factor acts; regular acts; projective cyclic subacts; acts over monoids
UR - http://eudml.org/doc/37945
ER -