On Hilbert coefficients and sequentially generalized Cohen-Macaulay modules
Commutative Algebra
2022-08-22 v1
Abstract
This paper shows that if is a homomorphic image of a Cohen-Macaulay local ring, then -module is sequentially generalized Cohen-Macaulay if and only if the difference between Hilbert coefficients and arithmetic degrees for all distinguished parameter ideals of are bounded.
Cite
@article{arxiv.2208.09112,
title = {On Hilbert coefficients and sequentially generalized Cohen-Macaulay modules},
author = {Nguyen Tu Cuong and Nguyen Tuan Long and Hoang Le Truong},
journal= {arXiv preprint arXiv:2208.09112},
year = {2022}
}
Comments
14 pages. Comments welcome!