The perfection can be a noncoherent GCD domain

DOI10.1216/jca.2024.16.363MaRDI QIDQ6597272

Austyn Simpson

Publication date: 3 September 2024

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

zbMATH Keywords

prime characteristic\(F\)-coherent

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Cites Work

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• Finite Tor dimension and failure of coherence in absolute integral closures
• The Cohen-Macaulay property and \(F\)-rationality in certain rings of invariants
• Finite conductor rings
• On the Frobenius Power and Colon Ideals
• F-Purity and Rational Singularity
• Complete local factorial rings which are not Cohen-Macaulay in characteristic $p$
• Cyclic Purity Versus Purity in Excellent Noetherian Rings
• F-Regularity, Test Elements, and Smooth Base Change
• Characterization of Completions of Unique Factorization Domains
• Coherence of absolute integral closures
• Characterizations of Regular Local Rings of Characteristic p

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