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

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

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

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Veröffentlicht in:Journal of pure and applied algebra 2024-06, Vol.228 (6), p.107612, Article 107612
Hauptverfasser: Hayasaka, Futoshi, Kodiyalam, Vijay
Format: Artikel
Sprache:eng
Schlagworte:
Determinantal criterion
Indecomposable module
Integral closure
Two-dimensional regular local ring
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Beschreibung
Zusammenfassung:We characterise ideals in two-dimensional regular local rings that arise as ideals of maximal minors of indecomposable integrally closed modules of rank three.
ISSN:0022-4049
1873-1376
DOI:10.1016/j.jpaa.2024.107612