Almost excellent unique factorization domains

DOI10.2140/INVOLVE.2020.13.165zbMath1433.13018OpenAlexW3005241747MaRDI QIDQ2299425

Sarah M. Fleming, Susan Loepp

Publication date: 21 February 2020

Published in: Involve (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/involve.2020.13.165

zbMATH Keywords

excellent ringsunique factorization domainscompletions of local rings

Mathematics Subject Classification ID

Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Excellent rings (13F40) Completion of commutative rings (13B35) Complete rings, completion (13J10)

Cites Work

• Unnamed Item
• Completions of local rings with an isolated singularity
• Constructing local generic formal fibers
• Characterization of completions of excellent domains of characteristic zero.
• Semilocal generic formal fibers
• Completely controlling the dimensions of formal fiber rings at prime ideals of small height
• Formal Fibers of Unique Factorization Domains
• Characterization of Completions of Unique Factorization Domains
• Constructing Almost Excellent Unique Factorization Domains

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