Minimal injective and flat resolutions of modules over Gorenstein rings
JZ Xu - Journal of Algebra, 1995 - Elsevier
… 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 …
, we show that any module over a n-Gorenstein ring admits a minimal flat resolution. This is a …
Resolutions by gorenstein injective andprojective modules and modules of finite injective dimension overgorenstein rings
EE Enochs, OMG Jenda - Communications in Algebra, 1995 - Taylor & Francis
… 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 (…
minimal resolutions in the sense that the resolutions … and projective resolutions respectively (…
Algebra structures on minimal resolutions of Gorenstein rings
AR Kustin, M Miller - Commutative algebra, 1982 - books.google.com
… 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 …
codimension four Gorenstein rings by using the DGC structures on minimal resolutions. The …
Gorenstein flat covers of modules over Gorenstein rings
E Enochs, J Xu - Journal of Algebra, 1996 - Elsevier
… 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.…
ring, we prove that every module … If there is a resolution of length m by pure injectie modules, i.…
Free resolutions over short Gorenstein local rings
I Bonacho Dos Anjos Henriques, LM Şega - Mathematische Zeitschrift, 2011 - Springer
… 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 …
… (see 1.10 for the definition of a Koszul module). In the last section we study Gorenstein rings …
[HTML][HTML] Gorenstein homological dimensions
H Holm - Journal of pure and applied algebra, 2004 - Elsevier
… 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. …
Gorenstein projective precover: … For any R-module M we define two types of resolutions. …
Construction of Gorenstein-projective modules over Morita rings
D Asefa - Journal of Algebra and Its Applications, 2023 - World Scientific
… 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…
… resolutions and all finitely generated Gorenstein-projective modules over a Morita ring Δ(0,0…
[PDF][PDF] On Gorenstein modules over a complete Cohen-Macaulay local ring
RY Sharp - The Quarterly Journal of Mathematics, 1971 - Citeseer
… 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 …
-module M is said to be Gorenstein if and only if G(M) provides a minimal injective resolution for …
[引用][C] On projective resolutions of Frobenius algebras and Gorenstein rings
K Behnke - Mathematische Annalen, 1981 - Springer
… 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. …
modules, which applies to give free resolutions, over a polynomial ring, for affine Gorenstein rings. …
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