… We show (Theorem 4.2) that a ring R is left n-perfect if and only if every Gorenstein flat left
R-… Perfect if every module has an X-cover and a Y-envelope. • Cogenerated by a set if there is …

… finitely generated as an R-algebra, so that its Koszul dual will not be finite-dimensional; it will,
however, be of finite … For example, in both examples mentioned, S is a Gorenstein ring. We …

… Throughout this paper, all rings are commutative with identity, … a strongly Gorenstein flat
object in A, which has enough flat … and J x be the injective envelope of Kx for every x ∈ X. Then, …

… 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 …

… We fix all rings are non-zero n-Gorenstein rings, which … \) consists of all of finitely generated
Gorenstein projective modules. … a partial Gorenstein weak n-tilting module if it satisfies (GW1) …

… ring such that the injective envelope of every simple left R-module is finitely generated, then
the character module of … Does every (left ) noetherian ring satisfy the condition that character …

… left Noetherian rings, especially left Artinian rings, have attracted … rings, since the syzygies
of finitely generated modules are … the (pre)cover and (pre)envelope properties of n-projective …

… study the weak Gorenstein global dimension of a ring R with … useful to generate special
(pre-)covers and (pre-)envelopes. … in which every projective module is finitely generated. For the …

… of F W ( R ) -pre-envelopes, which we prove in Theorem 3.8 … commutative) ring with
identity, and all modules will be, unless … is equivalent to C being a finitely generated R-module. …

… every object \(B \in {\mathcal {G}}\) has an injective envelope … spirit of locally finitely generated
and locally finitely presented … Our goal now is to point out how a theory of Gorenstein \(\text …