… we de ne Gorenstein injective rings, Gorenstein injective modules and their envelopes. The
main … If in fact these are all injective covers, we call this a minimal injective resolvent of N and …

… We study a particular case of E-Gorenstein injective and flat modules, called strongly E-…
a C-(pre)envelope. Dually, we have the notions of a C-(pre)cover and a covering subcategory. …

… over a left GF-closed ring R have Gorenstein flat covers (see [35]). … cover) and the
converse holds in case R R is FP-injective (… Gorenstein projective envelope and R R is FP-injective. …

… injective objects and projective objects there exist full characterizations. These covers (and
its dual concept, envelopes… QF: IwanagaGorenstein. pure-semisimple of the ring of invariants. …

… Gorenstein injective modules are enveloping over any ring R, and that the Gorenstein flat
modules are covering … I → Y → 0 with X → I the injective envelope of X. Since both X and I are …

… injective envelope of every simple left R-module be finitely generated. Then is a Gorenstein
flat … Consider the exact sequence 0 → K′ → F → K → 0, where F → K is a flat cover of K and …

… been established in the coherent case by Stovicek in [Citation… in such a category to be
Gorenstein AC-injective if M = Z 0 I … every object B∈𝒢 has an injective envelope E(B). In particular, …

… We will apply flat covers and minimal flat … injective envelopes and minimal injective resolutions,
Cohen-Macaulay rings and Gorenstein rings can be characterized in terms of flat covers …

… (Pre)envelopes and (pre)covers of modules were introduced by … Gorenstein artinian algebra
of finite CM-type and let D be a subcategory of Mod Rop containing all Gorenstein injective …

… Dually we have the definition of a C-(pre)envelope. C-… Moreover, we show when every right
R-module has an epic TIn-cover … n-Gorenstein rings with finitely F GT-injective dimensions. …