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

2023/12/18 by Futoshi Hayasaka, Hayasaka, Futoshi, Vijay Kodiyalam +1
Mathematics · #13B22 #13H05 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2312.11077

openalex publication_date 2023/12/18 · openalex created_date 2023/12/20 · openalex updated_date 2026/07/28

Abstract

We characterise ideals in two-dimensional regular local rings that arise as ideals of maximal minors of indecomposable integrally closed modules of rank three.

Related

• Note on indecomposable integrally closed modules of rank 2 over two-dimensional regular local rings
• 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
• Integral closures of ideals in completions of regular local domains
• Integrally closed and componentwise linear ideals