… -Macaulay ring admitting a dualizing module, Gorenstein injective modules … Gorenstein
injective modules over such rings. This extends work of Enochs and Huang over Gorenstein rings…

… M1 has finite Gorenstein AC-projective dimension. In order to show that M2 … finite Gorenstein
AC-projective dimension, we will use induction on the Gorenstein AC-projective dimension …

… In this section, we will characterize Gorenstein projective, injective and flat modules over
a ring admitting finite Gorenstein weak global dimension. We start with a lemma on …

… Gorenstein injective and Gorenstein flat dimensions of complexes. For Gorenstein projective
dimensions, … faithfully flat and module-finite, and dim R is finite, then for every homologically …

… Gorenstein flat dimension. We also prove two analogues involving Gorenstein injective
dimension… of Theorem 3.5 involving Gorenstein injective dimension which are Theorems B and C …

… noetherian ring A to satisfy the Gorenstein … finite injective dimension as a left module over
itself, obtain several necessary and sufficient conditions for A to have finite injective dimension …

… modules on nX -coherent rings. Then we investigate the relations … Gorenstein nX -injective,
nX -flat, injective and flat modules on X -FC-rings (ie, self nX -injective and nX coherent rings). …

… flat modules is contained in the class of Gorenstein flat modules. This paper proves … finite
Gorenstein flat dimension to be projectively coresolved Gorenstein flat, or of finite flat dimension…

… We also study the Gorenstein projective dimensions of TR(M)-modules. In Section 4, we
introduce the notion of a perfect bimodule and prove Theorem 4.7. Some (non-)examples are …

… ring, are studied. The correspondences are well-behaved, if the base ring is a Gorenstein
ring of dimension … Gorenstein property of the base ring, provided it is a Cohen-Macaulay local …