Bass and Betti numbers of a module and its deficiency modules
Commutative Algebra
2022-02-23 v2
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.
Keywords
Cite
@article{arxiv.2112.09724,
title = {Bass and Betti numbers of a module and its deficiency modules},
author = {Thiago Fiel and Rafael Holanda},
journal= {arXiv preprint arXiv:2112.09724},
year = {2022}
}
Comments
16 pages