Characterization of monoids by (U-)GPW-flatness of right acts

Publish Year: 1403
نوع سند: مقاله ژورنالی
زبان: English
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JR_CGASAT-21-1_004

تاریخ نمایه سازی: 30 مرداد 1403

Abstract:

The authors in ۲۰۲۰ introduced GPW-flatness and gave a characterization of monoids by this property of their right acts. In this article we continue this investigation and will give a characterization of monoids by this condition of their right Rees factor acts. Also we give a characterization of monoids by comparing this property of their  right acts with other properties.We also introduce U-GPW-flatness of acts, which is an extension of GPW-flatness and give some general properties and a characterization of monoids when this property of acts implies some others and vice versa.

Authors

Hamideh Rashidi

Department of Mathematics, Faculty of Science, University of Jiroft, Jiroft, 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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