Indecomposable integrally closed modules of rank 3 over two-dimensional regular local rings

DOI10.1016/j.jpaa.2024.107612arXiv2312.11077OpenAlexW4390955590MaRDI QIDQ6199079

Vijay Kodiyalam, Futoshi Hayasaka

Publication date: 23 February 2024

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2312.11077

zbMATH Keywords

integral closureindecomposable moduletwo-dimensional regular local ringdeterminantal criterion

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Regular local rings (13H05)

Cites Work

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• Indecomposable integrally closed modules of arbitrary rank over a two-dimensional regular local ring
• Constructing indecomposable integrally closed modules over a two-dimensional regular local ring
• Lengths and multiplicities of integrally closed modules over a two-dimensional regular local ring
• Generalizations of Reductions and Mixed Multiplicities
• Reduction of modules
• Joint reductions of complete ideals
• Integrally Closed Modules Over Two-Dimensional Regular Local Rings
• A Generalized Koszul Complex. II. Depth and Multiplicity

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