Frobenius Extensions Of Rings And Gorenstein Projective(Ding Projective) Complexes

In chapter three,we prove that over a general associative ring R,if the ring exten-sion R(?)A is a Frobenius extension,then any left A-module complex C is a Gorensteinprojective complex if and only if the underlying left R-module complex C is a Gorensteinprojective complex,and some properties of Gorenstein projective dimensions of complexes over Frobenius extensions are discussed.Some properties of Gorenstein injective complexes over Frobenius extensions are also given.In chapter four,we prove that over a general associative ring,any left A-module M is a Ding projective(Ding injective)module if and onlyif the underlying left R-module M is a Ding projective(Ding injective)module.Similarity,Ding projective(Ding injective)complexes over Frobenius extensions are discussed.