Existence oof Gorenstein Projective Resolutions and tate cohomology
Specialeforsvar ved Anne Hoff Kjeldsen Lützen
Titel: Existence of Gorenstein Projective Resolutions and Tate cohomology
Abstract: In this thesis I prove existence of proper Gorenstein projective resolutions and Tate cohomology over rings with a dualizing complex. The thesis is based on Peter Jørgensen's article "Existence of Gorenstein projective resolutions and Tate cohomology". Using Bousfield Localization, I prove that the inclusion functor, of the full subcategory of complete projective resolutions in the homotopy category of projective modules, has a right adjoint over rings with a dualizing complex. It is proven that existence of this right adjoint functor implies existence of Gorenstein projective resolutions and Tate cohomology groups.
Vejleder: Henrik G. Holm
Censor: Niels Lauritzen, Aarhus Universitet