… of acyclic complexes of projective modules is introduced to formalize a connection between
maximal Cohen-Macaulay modules and projective co-resolutions noted in the previous …

… For each pair of i , j , the Λ-module X i ⊗ Y j is indecomposable and projective by (2). Since …
If G admits a complete projective resolution, then G is called a Gorenstein projective A-module…

… in Gorenstein homological algebra are the Gorenstein projective and Gorenstein injective
modules. … The global resolution dimension dimX (A) of A with respect to X is the supremum of …

… some equivalent properties of these modules on nX -coherent … Gorenstein nX -injective, nX
-flat, injective and flat modules … modules via projective resolutions of n-presented modules in …

… of Gorenstein injective modules is closed under direct limits. We prove that the class of dg-Gorenstein
injective … dimension of complexes is defined by means of dg-injective resolutions. …

… R-modules with such property a quasi-projective resolution of M. We … Gorenstein local
ring R the classes of finitely generated modules of finite quasi-projective and finite quasi-injective …

… injective semi-Gorensteinprojective module and try to analyse S. Let A be an artin algebra
and S a simple injective module … with a projective resolution P• of the B-module U. According …

… class of Gorenstein injective modules. Now we recall the definitions of Gorenstein injective
modules and Gorenstein flat modules. … resolution consisting of countably generated projective …

… They also give an example to distinguish between Gorenstein injective right R-module
and Gorenstein FP-injective right R-module. … and an injective resolution of M as follows: …

… In 1995, Enochs and Jenda [12] introduced Gorensteinprojective modules not necessarily
… resolutions, and it turned out that Gorenstein-projective modules coincide with modules of G-…