… 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 …

… in the context of finitely generated modules over Artin algebras… finitely generated) modules
over general associative rings … a cotilting module is a Wakamatsu tilting module that satisfies …

… of modules and chain complexes over an arbitrary ring. This … perfect if every object of G has
an A -cover and a B -envelope. … with Pk finitely generated and projective for every k≥ 0. Let …

… About the envelope algebra, it was shown that if \(\Lambda \) is semisimple and k-… G-dimensions
for finitely generated modules over commutative Noetherian rings. As an extension of …

… modules of finitely generated modules, we assumed that the … M, where E denotes the injective
envelope of the residue field k. … maximal Cohen-Macaulay module X which satisfies (3.1). …

… the Gorenstein flat model structure on the category Mod(R) of left Rmodules provided R is a
GF-closed ring… The notions of (special) (pre)envelopes and (special) (pre)enveloping classes …

… 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(…

… envelopes in the category of left R-modules over some ring R. Here covers and envelopes
… If M is not finitely generated, Xu defines invariants of M which are in some sense dual to the …

… all module categories over noetherian rings, while not every … , epimorphic images and its
injective envelope, were proved. … of each one of its finitely generated generators (either in the …

… show the existence of (pre)envelops and (pre)covers by In … is a commutative ring with identity
and all modules are unitary. … class of modules with finite Gorenstein projective dimension (…