… of all finitely generated modules modulo projective modules. The … for Gorenstein rings—yields
then a method to construct for any … ) examples satisfy both definitions, namely those rings S …

… finitely generated modules over non-commutative rings by Enochs and collaborators who
defined the central notion of Gorenstein projective module … examples of rings satisfying that the …

… Throughout this paper, all rings are nonzero Gorenstein rings, ie, … have the definitions of a
C -preenvelope and a C -envelope. … sum of finitely generated Gorenstein projective modules. …

… theory for module categories over any associative ring with unit. … and their minimal versions,
envelopes and covers. Many of … finitely generated free modules, we call a module M a Bass …

… only if any finitely generated module in ⊥ S F I is finitely presented… Then (pre)envelopes and
(pre)covers by strongly FP-… , for any Noetherian ring R, we assume that every Gorenstein FP-…

… If the equivalent conditions in Proposition 2 are satisfied, then we say that the module M
has … In this section, we characterize those rings over which all modules have finite PGF-…

… class of all Gorenstein projective objects and the class of all strongly … In Corollary 3.6 we
prove that a left coherent ring R is left … Now we prove that when the module is finitely generated (…

… every finitely generated R-module has finite projective … If R is Gorenstein and M is an
MCM module then we have an … dg category C admits a strongly pretriangulated envelope tri(…

… We may assume that R is not a Gorenstein ring. Let (a) be a … If n > 1, we have that L =
mn−1x−1 satisfies L · m is an ideal of R so … the exact sequence of finitely generated R[QT]-modules …

… the class of Gorenstein flat modules over a right coherent rings, … The dual notion is that of
(pre-)envelopes: if E is a class, the … we assumed S was finitely generated and projective over R, …