On the set of trace ideals of a Noetherian ring

DOI10.1007/s13366-021-00616-wOpenAlexW4213314870MaRDI QIDQ2689452

Masoomeh Rahimbeigi, Jürgen Herzog

Publication date: 10 March 2023

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.04241

zbMATH Keywords

conductorvalue semigrouptrace idealsfractionary idealsintegrally idealsone-dimensional analytically irreducible rings

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Regular local rings (13H05) Theory of modules and ideals in commutative rings (13C99)

Related Items (4)

The trace property in preenveloping classes ⋮ Upper bound on the colength of the trace of the canonical module in dimension one ⋮ When are trace ideals finite? ⋮ Reflexive modules over the endomorphism algebras of reflexive trace ideals

Uses Software

• numericalsgps

Cites Work

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• numericalsgps
• Trace ideals and centers of endomorphism rings of modules over commutative rings
• Canonical trace ideal and residue for numerical semigroup rings
• Correspondence between trace ideals and birational extensions with application to the analysis of the Gorenstein property of rings
• The trace of the canonical module
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• Über eine Klasse unvergabelter lokaler Ringe
• Rings whose ideals are isomorphic to trace ideals
• The Value-Semigroup of a One-Dimensional Gorenstein Ring

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