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

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 the "triangular relation" in tilting theory is also valid in silting and star theories in the context of Gorenstein homological algebras. We establish more closed connections among silting and tilting, star theories, that is, we investigate relations between Gorenstein weak n-silting, Gorenstein weak n-tilting and Gorenstein weak n-star modules. Based on these relations, we obtain new characterizations of Gorenstein weak n-tilting modules.