On the existence of certain modules of finite Gorenstein homological dimensions

Kamran Divaani-Aazar, Fatemeh Mohammadi Aghjeh Mashhad, Massoud Tousi

Let (R,m) be a commutative Noetherian local ring. It is known that R is Cohen-Macaulay if there exists either a nonzero finitely generated R-module of finite injective dimension or…