… and obtain some closure properties of Gorenstein f-projective R-modules. As a … when every
finitely generated R-module has a finitely generated Gorenstein projective (pre)envelope. For …

… 93 be a covariantly finite subcategory of 9?, satisfying the following: … , then the injective
envelope of A is finitely generated. This … envelopes of the isoclasses of simple modules is a finitely …

… Modules satisfying axiom 2(d) are called unital modules and … Remark Rings for which every
finitely generated module has … every R-module has an F-(pre)envelope, we say that F is (pre)…

… which also satisfies the same restricted conditions of a module (… (M ,Q) = 0 for all finitely
generated projective R-modules Q. … of rings includes that of right coherent and left n-perfect rings, …

… of special Gorenstein projective precovers over such a ring and we … of Gorenstein projective
covers for any finitely generated … a limit ordinal, we have (j>a-\,a-2 • X —• X satisfying the …

… C-envelopes and 'C-covers of finitely generated modules exist … Since injective modules form
a subclass of C', we can form … is a local ring aud tLat all modules are finitely generated. The …

… Just as a ring is called Gorenstein when it is n-Gorenstein for … results concerning existence
of covers and envelopes. … G is finite, U preserves finitely generated modules. Since U is …

… If M is a finitely generated module over a local ring S, and S b … E is the injective envelope of
the R-module k; furthermore, in … All of the hypotheses of Theorem 1.2 are satisfied by the ring …

… ring R various classes of relative Gorenstein projective R-… f in (finitely generated modules of
finite Gorenstein projective dimension… Dually, one has the notions of (pre)envelopes and (pre)…

… ring R, we prove that the flat dimension of the injective envelope of any (Gorenstein) flat left
R-module … is satisfied. We remark that these equivalent conditions hold true for commutative …