Upper bound on the colength of the trace of the canonical module in dimension one

DOI10.1007/s00013-022-01764-8zbMath1499.13070arXiv2201.12508OpenAlexW4291002930MaRDI QIDQ2166347

Shinya Kumashiro, Jürgen Herzog

Publication date: 24 August 2022

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.12508

zbMATH Keywords

numerical semigroup ringtrace of canonical modulebirational Gorenstein colength

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Other special types of modules and ideals in commutative rings (13C13)

Cites Work

• Unnamed Item
• Trace ideals and centers of endomorphism rings of modules over commutative rings
• The Gorenstein colength of an Artinian local ring
• On graded rings. I
• Canonical trace ideal and residue for numerical semigroup rings
• Ideals of reduction number two
• Local rings with self-dual maximal ideal
• The trace of the canonical module
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• Graded Bourbaki ideals of graded modules
• On the set of trace ideals of a Noetherian ring
• The Value-Semigroup of a One-Dimensional Gorenstein Ring
• On the Length of Faithful Modules over Artinian Local Rings.
• On numerical semigroups

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