[图书][B] Maximal Cohen–Macaulay Modules and Tate Cohomology
RO Buchweitz - 2021 - books.google.com
This book is a lightly edited version of the unpublished manuscript Maximal Cohen–
Macaulay modules and Tate cohomology over Gorenstein rings by Ragnar-Olaf Buchweitz …
Macaulay modules and Tate cohomology over Gorenstein rings by Ragnar-Olaf Buchweitz …
Maximal Cohen-Macaulay modules and Tate-cohomology over Gorenstein rings
RO Buchweitz - 1986 - tspace.library.utoronto.ca
Although there has been a lot of work and success lately in the theory of such modules, of
which this conference witnessed, it has remained mysterious-at least to the present author …
which this conference witnessed, it has remained mysterious-at least to the present author …
Maximal Cohen–Macaulay modules over Gorenstein rings and Bourbaki-sequences
J Herzog, M Kühl - Commutative algebra and combinatorics, 1987 - projecteuclid.org
Motivated by recent work of Knorrer [17], Buchweitz, Greuel and Schreyer [9] who proved
that a hypersurface singularity R over C is of finite Cohen-Macaulay representation type if …
that a hypersurface singularity R over C is of finite Cohen-Macaulay representation type if …
[PDF][PDF] The homological theory of maximal Cohen-Macaulay approximations
M Auslander, RO Buchweitz - 1989 - researchgate.net
Let R be a commutative noetherian Cohen-Macaulay ring which admits a dualizing module.
We show that for any finitely generated R-module N there exists a maximal Cohen-Macaulay …
We show that for any finitely generated R-module N there exists a maximal Cohen-Macaulay …
Maximal Cohen-Macaulay modules over surface singularities
The study of Cohen-Macaulay modules over Noetherian local rings originates from the
theory of integral representations of finite groups (which, on its side, grew up from a very …
theory of integral representations of finite groups (which, on its side, grew up from a very …
Cohen–Macaulay modules,(co) torsion pairs and virtually Gorenstein algebras
A Beligiannis - Journal of Algebra, 2005 - Elsevier
We use torsion pairs in stable categories and cotorsion pairs in modules categories to study,
in general infinitely generated, Cohen–Macaulay modules and (a generalization of) …
in general infinitely generated, Cohen–Macaulay modules and (a generalization of) …
The trace of the canonical module
J Herzog, T Hibi, DI Stamate - Israel Journal of Mathematics, 2019 - Springer
The trace of the canonical module (the canonical trace) determines the non-Gorenstein
locus of a local Cohen-Macaulay ring. We call a local Cohen-Macaulay ring nearly …
locus of a local Cohen-Macaulay ring. We call a local Cohen-Macaulay ring nearly …
Two theorems about maximal Cohen–Macaulay modules
C Huneke, GJ Leuschke - Mathematische Annalen, 2002 - Springer
This paper contains two theorems concerning the theory of maximal Cohen–Macaulay
modules. The first theorem proves that certain Ext groups between maximal Cohen …
modules. The first theorem proves that certain Ext groups between maximal Cohen …
Gorenstein categories, singular equivalences and finite generation of cohomology rings in recollements
C Psaroudakis, Ø Skartsæterhagen… - Transactions of the …, 2014 - ams.org
Given an artin algebra $\Lambda $ with an idempotent element $ a $ we compare the
algebras $\Lambda $ and $ a\Lambda a $ with respect to Gorensteinness, singularity …
algebras $\Lambda $ and $ a\Lambda a $ with respect to Gorensteinness, singularity …
Gorenstein cohomology in abelian categories
S Sather-Wagstaff, T Sharif, D White - Journal of Mathematics of …, 2008 - projecteuclid.org
We investigate relative cohomology functors on subcategories of abelian categories via
Auslander-Buchweitz approximations and the resulting strict resolutions. We verify that …
Auslander-Buchweitz approximations and the resulting strict resolutions. We verify that …