Note on length and multiplicity of modules over two-dimensional regular local rings
Commutative Algebra
2025-10-10 v1
Abstract
We give lower and upper bounds on the Buchsbaum-Rim multiplicity of finitely generated torsion-free modules over two-dimensional regular local rings, and conditions for them to attain the bounds. As consequences, we have formulae on the multiplicity of integrally closed modules.
Keywords
Cite
@article{arxiv.2510.07779,
title = {Note on length and multiplicity of modules over two-dimensional regular local rings},
author = {Futoshi Hayasaka and Vijay Kodiyalam},
journal= {arXiv preprint arXiv:2510.07779},
year = {2025}
}
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12 pages