On relative counterpart of Auslander's conditions

D Bennis, R El Maaouy, JRG Rozas… - Journal of Algebra and …, 2023 - World Scientific
It is now well known that the conditions used by Auslander to define the Gorenstein
projective modules on Noetherian rings are independent. Recently, Ringel and Zhang …

Mittag-Leffler conditions and projectively coresolved Gorenstein flat tilting modules

J Su, Y Yang - Indian Journal of Pure and Applied Mathematics, 2024 - Springer
We first make an approach to the Mittag-Leffler condition in the theory of relative Ext-
orthogonal classes and establish the balance of the relative derived functors of the Hom and …

Gorenstein Weak n-Silting Modules and Weak n-Star Modules

Q Yuan, H Yao - Bulletin of the Iranian Mathematical Society, 2023 - Springer
As generalizations of silting modules and star modules, respectively, the notions and basic
properties of Gorenstein weak n-silting and weak n-star modules are given. We mainly show …