An R-module M satisfies the dual Auslander–Bridger formula if Gid RM+ Tor− depth M=
depth R. Let R be a complete Cohen–Macaulay local ring with residue field k and M be a …

A generalization of Grothendieck's non-vanishing theorem is proved for a module which is
finite over a local homomorphism. It is also proved that the Gorenstein injective dimension of …

There is a complete cohomology theory developed over a commutative noetherian ring in
which injectives take the role of projectives in Vogel's construction of complete cohomology …