Title of article :
On Condition (G-PWP)
Author/Authors :
Arabtash، Mostafa نويسنده Department of Mathematics,University of Sistan and Baluchestan,Zahedan,Iran , , Golchin، Akbar نويسنده Department of Mathematics,University of Sistan and Baluchestan,Zahedan,Iran , , Mohammadzadeh Saany، Hossein نويسنده Department of Mathematics,University of Sistan and Baluchestan,Zahedan,Iran ,
Issue Information :
سالنامه با شماره پیاپی سال 2016
Abstract :
Laan in (Ph.D Thesis, Tartu. 1999) introduced the principal weak form of Condition $(P)$ as Condition $(PWP)$ and gave some characterization of monoids by this condition of their acts. In this paper first we introduce Condition (GPWP), a generalization of Condition $(PWP)$ of acts over monoids and then will give a characterization of monoids when all right acts satisfy this condition. We also give a characterization of monoids, by comparing this property of their acts with some others. Finally, we give a characterization of monoids coming from some special classes, by this property of their diagonal acts and extend some results on Condition $(PWP)$ to this condition of acts.
Keywords :
S-act , condition (G-PWP) , condition (PWP)
Journal title :
Categories and General Algebraic Structures with Applications
Journal title :
Categories and General Algebraic Structures with Applications
