Note on length and multiplicity of modules over two-dimensional regular local rings

Proceedings of the American Mathematical Society 2026 Open access

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Authors: Futoshi Hayasaka, Vijay Kodiyalam
DOI: 10.1090/proc/17552
Cited by: 0
References: 15

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.

Fields of Study & Subjects

Commutative Algebra and Its Applications Algebraic Geometry and Number Theory Rings Modules and Algebras

Publication details

Journal / source
Proceedings of the American Mathematical Society
Volume
154
Issue
4
Pages
1421–1432
Publication date
9 February 2026
Language
EN