Title of article :
On the property U-(G-PWP) of acts
Author/Authors :
Arabtash ، Mostafa - University of Sistan and Baluchestan , Golchin ، Akbar - University of Sistan and Baluchestan , Mohammadzadeh ، Hossein - University of Sistan and Baluchestan
Abstract :
In this paper first of all we introduce Property U-(G-PWP) of acts, which is an extension of Condition (G-PWP) and give some general properties. Then we give a characterization of monoids when this property of acts implies some others. Also we show that the strong faithfulness (Pcyclicity) and (P-)regularity of acts imply the property U-(G-PWP). Finally, we give a necessary and sufficient condition under which all cyclic (finitely generated) right acts or all (strongly, R-) torsion free cyclic (finitely generated) right acts satisfy Property U-(G-PWP).
Keywords :
S , act , Condition (PWP) , Condition (G , PWP) , Condition U , (G , PWP)
Journal title :
Categories and General Algebraic Structures with Applications
Journal title :
Categories and General Algebraic Structures with Applications
