… And we prove that over such rings every complex also has a Gorenstein injective envelope.
In … over commutative noetherian rings of finite Krull dimension every complex of R-modules …

… a class of finitely generated modules that have a complete … of Gorenstein flat covers over
two sided noetherian rings. … of F-(pre)covers and F-(pre)envelopes take the name of F. Thus…

… Dually we have the definition of a C-(pre)envelope. C-covers … Finally, we study weakly
n-Gorenstein rings with finitely F GT-… In fact, any finitely generated torsionless Rmodule T is finitely …

… Gorenstein injective pre-envelopes and Gorenstein … -ring H, we have to face the situation
that H carries different … S is bijective, LH is finitely generated and projective if and only if …

… Gorenstein ring every finitely generated module M has a complete … each morphism ϕ: F →
F satisfying f ○ ϕ =f is an automorphism. If … Suppose that M has a projective envelope. Then a …

… Now let R be n-Gorenstein and let ℒ denote the class of modules satisfying … 1995a), every
finitely generated module M has a finitely generated Gorenstein projective precover C → M. In …

… of the category of finitely generated modules over a Gorenstein ring, concluding that the …
the task to proving each category of interest satisfies the hypotheses laid out in this section. It is …

… Cohen-Macaulay rings and Gorenstein rings by the dual Bass … who have interest in general
theory of covers and envelopes … every finitely generated right R-module is finitely presented. …

… Clearly, the ring R satisfies the condition of Theorem 3.4(1), … n-Gorenstein ring (that is, R is
a left and right Noetherian ring … Q finitely generated projective since K is finitely generated. So …

… in the specific setting of a Gorenstein ring. Applying similar … -envelopes). Instead, our
approach relies on a combination of … direct limit of finitely generated projective modules. One can …