… , the theory of covers and envelopes to proceed even further, so as … ring which is a
homomorphic image a Gorenstein local ring, … X of of finitely generated Gorenstein projective …

… , if every object has an X-(pre)envelope, we say that X is (pre)… by a strongly Gorenstein flat
module, a module M such that … subprojectivity domains of finitely generated modules coincide. …

… satisfies (DARC), then it also satisfies (ARC). We prefer to … , CM( ) contains finitely generated
Gorenstein projective modules as a … Gorenstein ring, the Gorenstein injective envelope of an …

… category of finitely generated Gorenstein projective modules is an … modules over a fixed
commutative Artinian ring R with … closed under taking injective envelopes [Di66, Theorem 2.9]). …

… the (pre)covers (respectively, (pre)envelopes) in C and C[ϵ] … We prove that a finitely generated
left R-module M is τ-rigid (… if all its finitely generated Gorenstein projective modules are …

… FC rings in terms of strongly E-Gorenstein injective and flat … of finitely generated modules
to that of finitely generated … A C-preenvelope f : M → C is called a C-envelope if every …

… Gorenstein-injective modules over a left Noetherian ring R with … of all finitely generated
projective (or free) R-modules, for every … M, we denote by ER(M) an injective envelope of M. For a …

… the finitely generated modules of finite GCdimension over a commutative noetherian ring
R, … A cotorsion pair (A, B) is said to be perfect if every module has an A-cover and a B-envelope…

… specific setting of a Gorenstein ring. Applying similar techniques, … direct limit of finitely
generated projective modules. One can … , Envelopes and covers by modules of finite injective and …

… of (pre)cover and (pre)envelope. Let X be a class of R-… is an n-Gorenstein ring, then the
Gorenstein global dimension of … Since C-projective modules are always C-Gorenstein projective, …