On Coprimary Filtrations
Commutative Algebra
2024-10-16 v1 Algebraic Geometry
Abstract
The coprimary filtration is a basic construction in commutative algebra. In this article, we prove the existence and uniqueness of coprimary filtration of modules (not necessarily finitely generated) over a Noetherian ring. Moreover, we also prove the existence and uniqueness of coprimary filtrations of coherent sheaves over a locally Noetherian scheme.
Keywords
Cite
@article{arxiv.2410.11606,
title = {On Coprimary Filtrations},
author = {Yao Li},
journal= {arXiv preprint arXiv:2410.11606},
year = {2024}
}