Title of article :
Characterization of monoids by (U-) GPW-flatness of right acts
Author/Authors :
Rashidi ، Hamideh Department of Mathematics - Faculty of Science - University of Jiroft , Golchin ، Akbar Department of Mathematics - University of Sistan and Baluchestan , Mohammadzadeh Saany ، Hossein Department of Mathematics - University of Sistan and Baluchestan
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.
Keywords :
GPW , flat , GPW , left stabilizing , U , GPW , flat
Journal title :
Categories and General Algebraic Structures with Applications
Journal title :
Categories and General Algebraic Structures with Applications
