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

Autor: Rashidi, Hamideh, Golchin, Akbar, Saany, Hossein Mohammadzadeh
Předmět:
Zdroj: Categories & General Algebraic Structures with Applications; Jul2024, Vol. 21 Issue 1, p127-152, 26p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index