… of self extensions of finitely generated modules over commutative Noetherian rings. The aim
of … [5] proved that M is Gorenstein projective if and only if the G-dimension of M is zero (see …

… on a lattice described by a finitely generated abelian group \(\… are reviewed in appendices:
Gorenstein rings in Appendix A, … , let \(\textrm{E}_A(M)\) be the injective envelope of M. We …

… a commutative ring with a fixed finitely generated ideal is again a derived complete module.
… which must be an R-module map satisfying the usual coassociativity and counitality axioms. …

… relative homology theory, and Gorenstein homology theory is only a … and L represent the
class of finitely generated modules. … 3.33 points out that each module has an injective envelope. …

… finitely generated modules which coincides with the class of … module of R, then R Ω is a
Gorenstein ring and we have a … to give the precise structure of a module’s injective envelope. …

… the impetus for all of this. We recall that, for modules over a ring R, a cotorsion module C is
… Let B ֒→ RB be a Gorenstein injective approximation (special pre-envelope) of the sheaf B. …

… Gorenstein algebras appear also in more recent work of … Since finitely generated uniserial
modules are always cyclic, … the injective envelope k → a. This means that CR(V ) is noetherian …

… notions of X -preenvelope, X -reflection and X -envelope in a dual fashion. … ring R with a
dualizing module, the class M C M ( R ) of finitely generated maximal Cohen-Macaulay modules …

… stronger than ours and does not satisfy the above result. Hence, … Regarding the canonical
complex of a Stanley–Reisner ring … F is finitely generated if F p is a finitely generated k-module …

… ring R to be right coherent and taking S to be the class of all … These conditions are satisfied
automatically for any cotorsion … from any finitely generated object T ∈ K is finitely generated. …