Note on length and multiplicity of modules over two-dimensional regular local rings
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.
Authors
- Vijay Kodiyalam (ORCID: https://orcid.org/0000-0003-1707-1756)
- Futoshi Hayasaka
Institutions
- Okayama University (JP)
- Homi Bhabha National Institute (IN)
- Institute of Mathematical Sciences (IN)
Publication Details
- Journal
- Proceedings of the American Mathematical Society
- Published
- 2026-02-09
- DOI
- https://doi.org/10.1090/proc/17552
- Primary Topic
- Commutative Algebra and Its Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00