Hilbert coefficients of good I-Filtrations of modules
Commutative Algebra
2024-01-10 v1
Abstract
Let be a finitely generated module of dimention d over a Noetherian local ring (A,m) and I an m-primary ideal. Let be a pair of good I-filtrations F and F' of M. We show that the Hilbert coefficients e_i(F) are bounded below and above in terms of i, e_0(F'),...,e_i(F'), and reduction numbers of F and F', for all i \ge 1.
Keywords
Cite
@article{arxiv.2401.04668,
title = {Hilbert coefficients of good I-Filtrations of modules},
author = {Le Xuan Dung},
journal= {arXiv preprint arXiv:2401.04668},
year = {2024}
}
Comments
Submitted January, 2022, 10 pages, to appear in Journal of Algebra and Its Applications