… 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 …

… These modules are a generalization of flat modules. After … of modules over a Gorenstein
ring, we prove that every module … If there is a resolution of length m by pure injectie modules, i.…

… 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…

… In (8), the concept of Gorenstein module was introduced: a non-zero, finitely generated A
-module M is said to be Gorenstein if and only if G(M) provides a minimal injective resolution for …

… 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. …