Maximal Cohen--Macaulay modules over hypersurface rings.

Ene, Viviana

Displaying similar documents to “Maximal Cohen--Macaulay modules over hypersurface rings.”

Rank two Ulrich modules over the affine cone of the simple node.

Baciu, Corina (2007)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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Indecomposable Cohen-Macaulay modules and irreducible maps

Dorin Popescu, Marko Roczen (1990)

Compositio Mathematica

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Tensor products of Clifford modules and linear maximal Cohen-Macaulay modules on quadrics

Jürgen Herzog (1990)

Banach Center Publications

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Strongly $𝒲$ -Gorenstein modules

Husheng Qiao, Zongyang Xie (2013)

Czechoslovak Mathematical Journal

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Let $𝒲$ be a self-orthogonal class of left $R$ -modules. We introduce a class of modules, which is called strongly $𝒲$ -Gorenstein modules, and give some equivalent characterizations of them. Many important classes of modules are included in these modules. It is proved that the class of strongly $𝒲$ -Gorenstein modules is closed under finite direct sums. We also give some sufficient conditions under which the property of strongly $𝒲$ -Gorenstein module can be inherited by its submodules and quotient...

Maximally generated Cohen-Macaulay modules.

B. Ulrich, J. Herzog, J.P. Brennan (1987)

Mathematica Scandinavica

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Limits of tilting modules

Clezio A. Braga, Flávio U. Coelho (2009)

Colloquium Mathematicae

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We study the problem of when a direct limit of tilting modules is still a tilting module.

Comultiplication modules over a pullback of Dedekind domains

Reza Ebrahimi Atani, Shahabaddin Ebrahimi Atani (2009)

Czechoslovak Mathematical Journal

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First, we give complete description of the comultiplication modules over a Dedekind domain. Second, if $R$ is the pullback of two local Dedekind domains, then we classify all indecomposable comultiplication $R$ -modules and establish a connection between the comultiplication modules and the pure-injective modules over such domains.

On Cohen-Macaulay rings

Edgar E. Enochs, Jenda M. G. Overtoun (1994)

Commentationes Mathematicae Universitatis Carolinae

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In this paper, we use a characterization of $R$ -modules $N$ such that $f d_{R} N = p d_{R} N$ to characterize Cohen-Macaulay rings in terms of various dimensions. This is done by setting $N$ to be the $d t h$ local cohomology functor of $R$ with respect to the maximal ideal where $d$ is the Krull dimension of $R$ .