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arXiv · 2112.09724

Bass and Betti numbers of a module and its deficiency modules

Thiago Fiel·Rafael Holanda
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Abstract

This paper aims to provide several relations between Bass and Betti numbers of a given module and its deficiency modules. Such relations and the tools used throughout allow us to generalize some results of Foxby, characterize Cohen-Macaulay modules in equidimensionality terms and furnish a case for the Auslander-Reiten conjecture.

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Thiago Fiel, Rafael Holanda. 2021-12-17. Bass and Betti numbers of a module and its deficiency modules. https://arxiv.org/abs/2112.09724

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