Abstract Let R→ S be a ring homomorphism and X be a complex of R-modules. Then the
complex of S-modules S⊗ RLX in the derived category D (S) is constructed in the natural …

Let R→ S be a ring homomorphism. We consider the relationships of the Gorenstein
dimensions of an R-complex X (possibly unbounded) with those of the S-complexes R Hom …

Let R be a ring and X a complex of R-modules. We investigate the relationship between the
dimensions Gppd (X) and Gpd (X) of X, where Gppd (X) is the dimension related to special …

Abstract Let R→ S be a ring homomorphism. The relations of Gorenstein projective
dimension with respect to a semidualizing module of homologically bounded complexes …

In this paper, we study Gorenstein injective, projective, and flat dimensions over a Cohen-
Macaulay local ring R admitting a dualizing module. In particular, we characterize these …

Let $ R $ be a left coherent ring. It is proven that if an $ R $-module $ M $ has a finite FP-
injective dimension, then the Gorenstein projective (resp. Gorenstein flat) dimension and the …

Abstract Let φ: R→ S be a local homomorphism and X a homologically finite S-complex.
Iyengar and Sather-Wagstaff defined the G-dimension and projective dimension of X over φ …

Let R be a ring and X a complex of R-modules. We give some characterizations of the
dimension of X related to special Gorenstein projective precovers. Let R be a ring such that …

In this paper, we study Gorenstein projective and flat modules over a Noetherian ring R. For
an R-module M, we show that Gorenstein projective dimension of M is finite if and only if …

Given a homomorphism of commutative noetherian rings R→ S and an S-module N, it is
proved that the Gorenstein flat dimension of N over R, when finite, may be computed locally …