Czechoslovak Mathematical Journal, Vol. 71, No. 2, pp. 403-416, 2021
Gorenstein star modules and Gorenstein tilting modules
Peiyu Zhang
Received September 7, 2019. Published online September 18, 2020.
Abstract: We introduce the notion of Gorenstein star modules and obtain some properties and a characterization of them. We mainly give the relationship between $n$-Gorenstein star modules and $n$-Gorenstein tilting modules, see L. Yan, W. Li, B. Ouyang (2016), and a new characterization of $n$-Gorenstein tilting modules.
Keywords: Gorenstein quasi-projective module; Gorenstein star module; Gorenstein tilting module
Affiliations: Peiyu Zhang, School of Mathematics and Physics, Anhui Polytechnic University, Anhui, 241000 Wuhu, P. R. China, e-mail: zhangpy@ahpu.edu.cn