Infinitely Generated Gorenstein Tilting Modules

The theory of finitely generated relative (co)tilting modules has been established in the 1980s by Auslander and Solberg, infinitely tilting have recently studied many authors context Gorenstein homological algebra. In this work, we build on developing “Gorenstein approximations” employing these approximations to study classes their associated cotorsion pairs. As applications our results, discuss problem existence complements partial as well some connections between finitistic dimension conjectures.