@article{Huang2022, 
author = {Zhaoyong Huang},
title = {On the  C-flatness and injectivity of character modules},
year = {2022},
journal = {Electronic Research Archive},
volume = {30},
number = {8},
pages = {2899-2910},
keywords = {character modules, C-flatness, C-projectivity, C-(FP-)injectivity, left coherent (and right perfect) rings, left Noetherian rings, left Artinian rings},
url = {https://www.sciopen.com/article/10.3934/era.2022147},
doi = {10.3934/era.2022147},
abstract = {Let  R,S be arbitrary associative rings and  RCS a semidualizing bimodule. We give some equivalent characterizations for  R being left coherent (and right perfect) rings, left Noetherian rings and left Artinian rings in terms of the  C-( FP-)injectivity, flatness and projectivity of character modules of certain left  S-modules.}
}