… injective resolution of Λ as a left and right module over itself. This means that Λ is a
Iwanaga–Gorenstein … R ( Λ , R ) , one may infer that for any Λ-module M and all integers i ≥ 0 , the …

… M has a finite flat dimension, we have the following flat resolution of M. … Gorensteinprojective
A-modules and B-modules coincides with the class of projective A-modules and B-modules, …

… Note that all pure injective modules are cotorsion modules, we consider a pure injective
resolution \(0\rightarrow F\rightarrow F_{0}^{++}\rightarrow F_{1}^{++}\rightarrow \cdots \…

… studied Gorenstein injective and projective complexes. Since then, Gorenstein homological
… M is said to be of type FP∞ if M has a projective resolution by finitely generated projectives. …

… Gorenstein projective dimension of an R-module M, RGpd(M), via … modules are Gorenstein
projective and injective modules are Gorenstein injective, Gorenstein projective resolutions …

… the Gorenstein counterparts to injective and projective modules [8]. Since … injective resolution.
The propositions and theorems for projective resolutions also hold for injective resolutions…

… a Gorenstein projective resolution. As a hot topic of Gorenstein homological algebra, Gorenstein
… Gorenstein injective and projective modules. Math Z, 1995, 220: 611–633 8 Enochs EE, …

… R-module. For an R-module M, the Gorenstein injective and projective dimensions of M
are defined in terms of Gorenstein injective and projective resolutions, and denoted by G-idR(M) …

… Gorenstein algebra that is finite and projective over its center. Using the homotopy category
of injective modules… This is an injective resolution of A as a (left) module over Aev. Since E is …

… As another application of the above, we apply the above results to study Gorenstein … and
projective dimension over rings can be detected from the length of flat and projective resolutions…