Let (R, m) be a local ring and C be a semidualizing module such that C≅ Hom R (M, R) for
some finitely generated R-module M. We study some properties of M and C. It is shown that …

The authors introduce and investigate the T_C-Gorenstein projective, L_C-Gorenstein
injective and H_C-Gorenstein flat modules with respect to a semidualizing module C which …

Given a semidualizing module C over a commutative Noetherian ring, Holm and Jørgensen
[Semi-dualizing modules and related Gorenstein homological dimensions, J. Pure Appl …

Let R be a commutative Noetherian ring and let C be a semidualizing R-module. We prove a
result about the covering properties of the class of relative Gorenstein injective modules with …

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Let R be a commutative Cohen–Macaulay ring, and let C be a semidualizing module of R. In
this paper, we show that C is generically dualizing if and only if the tensor products of …

A result of Foxby states that if there exists a complex with finite depth, finite flat dimension,
and finite injective dimension over a local ring R, then R is Gorenstein. In this paper we …

Let R be a commutative Noetherian ring and let C be a semidualizing R-module. It is proved
that FPD (R)= sup {GPC− pd R (M)| M∈ BC (R) and GPC− pd R (M)<∞}, which is a …

Let R and S be rings and RCS a semidualizing bimodule, and let T be a subcategory of the
Auslander class AC (S) and H={C⊗ ST| T∈ T}. Then for any left R-module M, the T …

In Enochs' relative homological dimension theory occur the (co) resolvent and (co) proper
dimensions, which are defined by proper and coproper resolutions constructed by precovers …