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Cohen-macaulay modules

1973
The object of this paper is to discuss the conjecture, which will be abbreviated (E), that every complete local ring of dimension n possesses a finitely generated module of depth n. It is noted that several conjectures which have been open for some time follow from (E), and the connection of (E) with Serre's conjecture on multiplicities over regular ...
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On Sequentially Co-Cohen–Macaulay Modules

Algebra Colloquium, 2007
In this paper, we define the notion of dimension filtration of an Artinian module and study a class of Artinian modules, called sequentially co-Cohen–Macaulay modules, which contains strictly all co-Cohen–Macaulay modules. Some characterizations of co-Cohen–Macaulayness in terms of the Matlis duality and of local homology are also given.
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Cohen-Macaulay modules on quadrics

1987
This paper analyzes the graded maximal Cohen-Macaulay modules over rings of the form R=k[x1,...,xr]/Q, when Q is a quadratic form defining a regular projective hypersurface, and k is an arbitrary field (the case when k is algebraically closed of characteristic ≠2 is a special case of the theory developed by Knorrer [1986]).
Ragnar-Olaf Buchweitz   +2 more
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Syzygies of Cohen–Macaulay Modules over One Dimensional Cohen–Macaulay Local Rings

Algebras and Representation Theory, 2021
Toshinori Kobayashi
exaly  

Cohen — Macaulay Modules and Approximations

2000
The purpose of this write-up is to provide a quick, “bare bones” introduction to maximal Cohen - Macaulay (mCM, for short) approximations. The reader I had in mind does not have much time (or, perhaps, desire) to learn in-depth yet another formalism, but she/he is curious about this technique and is willing to experiment with it if the necessary basic ...
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Cotilting with balanced big Cohen-Macaulay modules

Journal of Algebra, 2023
Isaac Bird
exaly  

COHEN-MACAULAY MODULES OVER COHEN-MACAULAY RINGS

Bulletin of the London Mathematical Society, 1992
openaire   +1 more source

Linkage of modules over Cohen–Macaulay rings

Journal of Algebra, 2011
Arash Sadeghi   +2 more
exaly  

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