… 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 …

… 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 …

… in the context of finitely generated modules over artin algebras … context of infinitely generated
modules over arbitrary rings [6, 8, … every comodule has a Gorenstein injective envelope and …

… The categorically dual notions are called (pre)envelopes. … by Gorenstein injective modules
in [14]. More recently, interplays … ring spectrum and I is a finitely generated ideal in π∗R. …

… of flat modules over an arbitrary ring R as the directed colimits of bounded complexes of finitely
generated projective R-modules. … The category of flat modules over any ring R, as well as …

… 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. …

… U to the cokernel of U → I for some relatively R-injective envelope I of U. … the ring of scalars
R, where we use the fact that M, M∨ are finitely generated projective as left and right modules…

… 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 …

… [11], finitely generated tilting modules over arbitrary rings were … generated tilting and
cotilting modules of finite projective … class of finitely generated Gorenstein projective left R-modules, …

… -functors does not restrict to finitely generated modules, so we can … rings admitting a canonical
module are Gorenstein rings, for … the injective envelope of the residue field k. When M is …