Modules whose finiteness dimensions coincide with their cohomological dimensions
Commutative Algebra
2021-09-06 v2
Abstract
Let a be an ideal of a commutative Noetherian ring R with identity. We study finitely generated R-modules M whose a-finiteness and a-cohomological dimensions are equal. In particular, we examine relative analogues of quasi-Buchsbaum, Buchsbaum and surjective Buchsbaum modules. We reveal several interactions between these types of modules that extend some of the existing results in the classical theory to the relative one.
Cite
@article{arxiv.2001.02470,
title = {Modules whose finiteness dimensions coincide with their cohomological dimensions},
author = {Kamran Divaani-Aazar and Akram Ghanbari Doust and Massoud Tousi and Hossein Zakeri},
journal= {arXiv preprint arXiv:2001.02470},
year = {2021}
}
Comments
To appear in Journal of Pure and Applied Algebra