… are just those modules M having the numbers m,(p, M) = 0 for all prime p with ht(p) > i and …
, we show that any module over a n-Gorenstein ring admits a minimal flat resolution. This is a …

… Gorenstein injectivity or projectivity of a module is concentrated in the zeroth term of the
minimal resolutions in the sense that the resolutions … and projective resolutions respectively (…

… that all minimal resolutions of codimension three Gorenstein local rings have the same …
codimension four Gorenstein rings by using the DGC structures on minimal resolutions. The …

… While the most significant statement of our results is given for Gorenstein rings, in the body
… (see 1.10 for the definition of a Koszul module). In the last section we study Gorenstein rings …

… can be tested by finitely generated modules of finite projective … -Gorenstein rings are
characterized among noetherian rings … projective resolution consisting of finitely generated …

… We show that every module M with finite Gorenstein projective dimension admits a nice
Gorenstein projective precover: … For any R-module M we define two types of resolutions. …

… all complete projective resolutions as well as all Gorenstein-projective modules over the 2 ×
… resolutions and all finitely generated Gorenstein-projective modules over a Morita ring Δ(0,0…

… is minimal, it fails to be minimal in the case of a Gorenstein ring. The aim of this paper …
modules, which applies to give free resolutions, over a polynomial ring, for affine Gorenstein rings. …

… that for every module M with a left injective resolution, one has E x … ring with id R R<∞
and M is a Gorenstein projective left R-module, then E x t R i ≥ 1 ( M , F ) = 0 for any left R-module …

… If an injective resolution of an R-module K is an injective resolvent of the rth cosyzygy, then
it is trivial that K is an … Throughout this section, R will be understood to be a noetherian ring. …