… of semi-Gorenstein-projective modules which are not Gorenstein-projective … -Gorenstein-projective
left modules are Gorenstein-projective (we call such an algebra left weakly Gorenstein…

… Gorenstein homological theory. In fact, the Gorenstein projective modules, Gorenstein injective
… the differentials of complete resolutions of projective modules, injective modules and flat …

… Gorenstein-projective modules were introduced by Auslander and Bridger [1]. In … a
Gorenstein-projective module given by Enochs and Jenda [11], using a complete projective …

… -modules that contains the injective modules we have that D P = P G F B if and only if every
Ding projective module has finite Gorenstein … then for any partial projective resolution of M, 0 …

… The ring Λ is Gorenstein of dimension zero if and only if it is a quasiFrobenius ring. … and
projective and injective Λ-modules coincide. Clearly, in that case all Λ-modules are Gorenstein …

… Finally, let M be an R-module with finite flat dimension and n a … of R-modules with every Ii
Gorenstein injective, then M is injective. … resolution by finitely generated projectives. A left R-…

… -modules B, we say an R-module N is Gorenstein B-injective if N = Z0E for some exact Hom(B,
·)-acyclic complex of injective R-modules … this with any usual injective resolution of N. The …

… conditions for all Gorensteinprojective modules over a Morita … , we get a class of
Gorenstein-projective modules over Δ(0,0)(… resolutions as well as all Gorenstein-projective …

… module E is called Gorenstein injective if there exists a totally acyclic complex U of injective
left R-modules … n if and only if M has a Gorenstein ACprojective resolution of length n, ie, 0 → …

… and projective as a left Γ-module and as a right Λ-module. … -module resolution of M ⋯ →
P 2 → δ 2 P 1 → δ 1 P 0 → δ 0 M → 0 , with k over R provides a projective Λ-module resolution …