On Condition (G-PWP)
Publish Year: 1395
Type: Journal paper
Language: English
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Document National Code:
JR_CGASAT-5-1_002
Index date: 14 September 2021
On Condition (G-PWP) 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 (G-PWP), 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.
On Condition (G-PWP) Keywords:
On Condition (G-PWP) authors
Mostafa Arabtash
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.
Akbar Golchin
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.
Hossein Mohammadzadeh Saany
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.
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