… GI-projective modules and prove that over noetherian rings, if a … of finitely generated injective
modules. Then I ⊆ SML(GI) and … Iacob, Gorenstein injective covers and envelopes over …

… -Chen ring, that is, a two-sided coherent ring with finite self FP-… to the study of precovers and
pre-envelopes. This area … }}\) if it has a projective resolution by finitely generated projective …

… Therefore we are mainly interested in constructing a satisfactory … is the injective envelope of
the simple right KT-module KT/n. … category of finitely generated projective K-modules and by …

… (2) Every finitely generated module has a pre-envelope with … A finitely generated module
M that satisfies these equivalent … , then N is still finitely generated and M is Gorenstein flat by …

… , Gorenstein or regular. A sample result: Let (R, m) be a local Noetherian ring, M a finitely
generated R-module … As IR(k), the injective envelope of k, is a canonical R-module, it follows …

… to finitely generated modules over Gorenstein local rings. … , we will observe finitely generated
G-projective modules, and … right minimal if any endomorphism f :M → M satisfying ρ = ρf …

… ∞ fin (of finitely generated modules of finite Gorenstein projective … ring R and Λ is finitely
generated as a module over R. … of modules, also known as the “theory of covers and envelopes”, …

… 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 …

… notions of projective (pre-)covers and injective envelopes. We … a projective resolution R of T
consisting of finitely generated … -Gorenstein rings (which generalizes n-Gorenstein rings from …

… ) be a local ring and M a finitely generated R-module. So R (+… and Gorenstein rings,
homological dimension, multiplication … there is an R-module monomorphism j: M → A satisfying A …