On Change of Ring Theorems of G-Matlis Reflexive Modules

Abstract:

      Let R and T be Noetherian complete semilocal rings, R T a ring homomorphism. In this paper, we show that if T is a finitely generated or Artinian R-module, M is a G-Matlis reflexive R-module, then for all n>0, Ext^Ｒ_ｎ(T,M), Ext^Ｒ_ｎ(M,T), Tor^Ｒ_ｎ(T,M) and Tor^Ｒ_ｎ(M,T) are G-Matlis reflexive T-modules. These results generalize the results of R.Belshoff.