Trace Ideals and the Gorenstein Property

DOI10.1080/00927872.2019.1670195zbMath1494.13015arXiv1802.06491OpenAlexW2788717418MaRDI QIDQ5089946

Nina Pande, Haydee Lindo

Publication date: 15 July 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.06491

zbMATH Keywords

Gorenstein ringtrace ideal

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Structure, classification theorems for modules and ideals in commutative rings (13C05)

Related Items (6)

The trace property in preenveloping classes ⋮ On the nonrigidity of trace modules ⋮ When are trace ideals finite? ⋮ The tiny trace ideals of the canonical modules in Cohen-Macaulay rings of dimension one ⋮ Reflexive modules over the endomorphism algebras of reflexive trace ideals ⋮ Correspondence between trace ideals and birational extensions with application to the analysis of the Gorenstein property of rings

Cites Work

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• Reconstructing projective modules from its trace ideal.
• Trace ideals and centers of endomorphism rings of modules over commutative rings
• Trace properties in rings with zero divisors
• Domains satisfying the trace property
• The radical trace property and primary ideals
• The trace of the canonical module
• Projective modules and their trace ideals
• Characteristic Submodules
• Computing the Integral Closure of an Affine Domain
• A note on the index of cohen-macaulay local rings
• Reflexive Modules Over Gorenstein Rings
• Maximal Orders

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