… For a module M∈ ModR, we denote the flat, injective and projective dimensions of M by fd
… Applying the functor Hom R (−,Q) to the above exact sequence, one has E x t R i ≥ 1 ( C , Q ) …

… projective (resp., injective, flat) resolutions. More precisely, a module M is said to be Gorenstein
projective if … such that F remains exact after applying the functor I ⊗R − for each injective …

… applying the functor I ⊗R __ for any injective right module I. … In order to present an application
of the notion of PGF-… injective lengths of projective modules and the projective lengths of …

… Not much later Gorenstein injective and Gorenstein flat dimension for complexes were …
that strongly Gorenstein flat dimension has a nice functorial description. As an application, we …

… attention to Gorenstein injective and Gorenstein flat dimensions of complexes. For Gorenstein
projective dimensions, it was shown in [21] that if φ : R → S is faithfully flat and module-…

… applying the functor I ⊗ R _ ​ _ for every injective module I, and hence they are Gorenstein
flat. The … An application of this stability result may be found in [Citation15, Proposition 2.15]. …

… derived functor RHom R (−,−). As applications, some characterizations of the Gorenstein AC-…
Dually, one can also define and study the Gorenstein AC-injective dimension for complexes …

… injective, projective, and flat dimensions of M, respectively. … of Gorenstein injective, Gorenstein
projective and Gorenstein flat, … Gorenstein injective, Gorenstein projective, and Gorenstein …

… As applications, we first get two model structures related to … Holm, On Gorenstein projective,
injective and flat dimensions-A functorial description with applications, J. Algebra 302 (2006)…

… We use the restricted flat dimension of MB to give a characterization … Moreover by applying
the functor HomA(M, −) to the exact … As applications of Theorem 3.2, we can easily obtain the …