NOTE ON INDECOMPOSABLE INTEGRALLY CLOSED MODULES OF RANK 2 OVER TWO-DIMENSIONAL REGULAR LOCAL RINGS

Futoshi Hayasaka; Vijay Kodiyalam

doi:10.1216/jca.2023.15.513

Abstract

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

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Futoshi Hayasaka. Vijay Kodiyalam. "NOTE ON INDECOMPOSABLE INTEGRALLY CLOSED MODULES OF RANK 2 OVER TWO-DIMENSIONAL REGULAR LOCAL RINGS." J. Commut. Algebra 15 (4) 513 - 518, Winter 2023. https://doi.org/10.1216/jca.2023.15.513

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Received: 28 July 2022; Accepted: 12 April 2023; Published: Winter 2023

First available in Project Euclid: 20 December 2023

MathSciNet: MR4680634

Digital Object Identifier: 10.1216/jca.2023.15.513

Subjects:

Primary: 13B22 , 13H05

Keywords: determinantal criterion , indecomposable module , integral closure , two-dimensional regular local ring

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