EUDML | Minimal injective resolutions

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Displaying similar documents to “Minimal injective resolutions”

Minimal injective resolutions with applications to dualizing modules and Gorenstein modules

Robert Fossum, Hans-Bjorn Foxby, Phillip Griffith, Idun Reiten (1975)

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Cohen-Macaulay homological dimensions

Henrik Holm, Peter Jørgensen (2007)

Rendiconti del Seminario Matematico della Università di Padova

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Complete intersection dimension

Luchezar L. Avramov, Vesselin N. Gasharov, Irena V. Peeva (1997)

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Balanced big Cohen-Macaulay modules and flat extensions of rings

Santiago Zarzuela Armengou (1986)

Extracta Mathematicae

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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 $R$ .