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

Document Type : Research Paper

Authors

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

2 Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran

10.48308/cgasa.2024.231706.1404

Abstract

The authors in 2020 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. 

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References

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Categories and General Algebraic Structures with Applications

Articles in Press, Accepted Manuscript
Available Online from 24 February 2024

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