… 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 …

… Auslander and Buchweitz [1] studied the ideas of injective envelopes and projective covers
… of finitely generated Gorenstein projective modules for a Gorenstein ring R, where D …

… projective or injective, and to know the injective envelopes of … Applications to dominant
dimension and Gorenstein rings In … finitely generated (= coherent) reflexive modules over a finite …

… Gorenstein if and only if the finitely generated modules have fillite G-dimension, a result already
shown for commutative rings … not have the property that its injective envelope is projective…

… is a satisfactory theory of Gorenstein projective, injective and flat modules over these rings
(… CZ(T ) the cotorsion envelope of a ZG-module as a Z-module and by CZG(T ) the cotorsion …

… –Macaulay ring admitting a dualizing module. He proved that the finitely generated modules
in … 3 to the problem of the existence of (pre)covers and (pre)envelopes relative to the class of …

… socle projective modules mod,,(R) over right multipeak rings R … (X) the injective envelope,
the projective cover, the socle and … any finitely generated projective module and any module …

… envelopes, we know that over such rings every modules has … local ring R, all finite generated
modules and Artinian modules … we will use flat covers to characterize Gorenstein modules.) …

… : If M is a finitely generated A-module, we provisionally define … is the injective envelope of k
= 8/(XI, ... ,xr ) as an 8-module. In … If these conditions are satisfied, we say that M is a maximal …