Colength, multiplicity, and ideal closure operations
Commutative Algebra
2023-01-10 v4
Abstract
In a formally unmixed Noetherian local ring, if the colength and multiplicity of an integrally closed ideal agree, then is regular. We deduce this using the relationship between multiplicity and various ideal closure operations.
Cite
@article{arxiv.1907.00951,
title = {Colength, multiplicity, and ideal closure operations},
author = {Linquan Ma and Pham Hung Quy and Ilya Smirnov},
journal= {arXiv preprint arXiv:1907.00951},
year = {2023}
}
Comments
7 pages, final version. A small inaccuracy in the proof of Lemma 4 is fixed