Stability of Restricted Homological Dimensions

De Jun Wu

doi:10.4028/www.scientific.net/AMM.455.320

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 455Stability of Restricted Homological Dimensions

Stability of Restricted Homological Dimensions

Abstract:

In this note, the stability of restricted homological dimensions of complexes over commutative noetherian local ring is discussed. For instance, let R be a Cohen-Macaulay ring and X, Y . If X is bounded below with Gpd, Y is bounded above and =0 for all , then Rfd=Rfd+Rfd.

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Applied Mechanics and Materials (Volume 455)

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320-324

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https://doi.org/10.4028/www.scientific.net/AMM.455.320

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November 2013

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De Jun Wu

Keywords:

Cohen-Macaulay Ring, Depth, Gorenstein Ring, Width

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