Cohomological dimension and relative Cohen-Maculayness
Commutative Algebra
2019-05-30 v1
Abstract
Let R be a commutative Noetherian (not necessarily local) ring with identity and a be a proper ideal of R. We introduce a notion of a-relative system of parameters and characterize them by using the notion of cohomological dimension. Also, we present a criterion of relative Cohen-Macaulay modules via relative system of parameters.
Keywords
Cite
@article{arxiv.1905.12390,
title = {Cohomological dimension and relative Cohen-Maculayness},
author = {Kamran Divaani-Aazar and Akram Ghanbari Doust and Massoud Tousi and Hossein Zakeri},
journal= {arXiv preprint arXiv:1905.12390},
year = {2019}
}
Comments
It will be published in Communications in Algebra