On the property U-(G-PWP) of acts
Publish Year: 1398
Type: Journal paper
Language: English
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JR_CGASAT-10-1_004
Index date: 14 September 2021
On the property U-(G-PWP) of acts 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, P-cyclicity) 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, \Re-) torsion free (cyclic, finitely generated) right acts satisfy Property U-(G-PWP).
On the property U-(G-PWP) of acts Keywords:
On the property U-(G-PWP) of acts 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
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
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