On Gorenstein flat preenvelopes of complexes

Gang Yang; Zhongkui Liu; Li Liang

Displaying similar documents to “On Gorenstein flat preenvelopes of complexes”

$λ$ and $μ$ -dimensions of modules

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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...

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Overtoun M.G. Jenda, Edgar E. Enochs (1995)

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Ene, Viviana (2007)

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Gerhard Pfister, Dorin Popescu (1996)

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Tame-wild dichotomy for Cohen-Macaulay modules.

Y.A. Drozd, G.-M. Greul (1992)

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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 $R$ .