GORENSTEIN ENDOMORPHISM RINGS ON CURVE SINGULARITIES

Philipp Korell

doi:10.1216/jca.2024.16.49

Abstract

We characterize the Gorenstein property for endomorphism rings of a fractional ideal on a curve singularity by using properties of the ideal. Moreover, the Gorenstein algebroid curves with only Gorenstein integral extensions are classified.

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Philipp Korell. "GORENSTEIN ENDOMORPHISM RINGS ON CURVE SINGULARITIES." J. Commut. Algebra 16 (1) 49 - 73, Spring 2024. https://doi.org/10.1216/jca.2024.16.49

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Received: 12 October 2022; Accepted: 6 June 2023; Published: Spring 2024

First available in Project Euclid: 18 January 2024

MathSciNet: MR4690595

zbMATH: 07823247

Digital Object Identifier: 10.1216/jca.2024.16.49

Subjects:

Primary: 13H10

Secondary: 14H20 , 20M12

Keywords: curve singularity , Endomorphism ring , Gorenstein , value semigroup

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