… Gorenstein homological algebra originated from the work of Enochs and Jenda [8], where
they introduced Gorenstein projective and injective modules. These notions were generalized …

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

… And for any graded flat left R-module F and any integer $i \geqslant 1, \operatorname{Ext}_{…
graded module on the graded ring and the n-Strongly Ding graded injective (resp.projective) …

… projective cotorsion pairs by use of n-strongly Gorenstein … an n-strongly Gorenstein projective
module N such that M ∈ … For any n-strongly Gorenstein projective module N, we can get …

… n-FP-gr-injective and Gorenstein n-gr-flat modules, … n-FP-gr-injective modules and n-gr-flat
modules, we introduce the concept of Gorenstein n-FP-gr-injective and Gorenstein n-gr-flat …

… the relation between ξ-projective resolution and ξ-Gprojective … ξGorenstein projective object
in C which called ξ-n-strongly … zero modules, and dually they defined Gorenstein injective …

… The generalization of n-strongly Gorenstein projective and injective modules, which will
be introduced in the following section, is a notion that depends on acyclicity conditions of …

… if and only if every short exact sequence 0 → M → N → F → 0 is pure, we immediately
realize that the dual notion of flat module is that of absolutely pure (=FP-injective) module (ie a …

… global Gorenstein projective dimension of a ring R is equal to the global Gorenstein injective
dimension of R (see [5, Theorem 1.1]). Ren and Liu in [14] studied Gorenstein homological …

… In what follows, we begin to define the n-strongly Gorenstein injective (n-SG-injective)
dimensions of modules and rings. Similarly to the result of [Citation19, Corollary 3.12], we have the …