Cohen-Macaulay module type

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 $R$ .

Modules over the 4-dimensional Sklyanin algebra

Thierry Levasseur, S.Paul Smith (1993)

Bulletin de la Société Mathématique de France

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Cohen-Macaulay modules on hypersurface singularities I.

H. Knörrer (1987)

Inventiones mathematicae

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Hypersurface sections and obstructions (rational surface singularities)

Kurt Behnke, Jan Arthur Christophersen (1991)

Compositio Mathematica

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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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