A new characterization of GCD domains of formal power series

DOI10.1090/spmj/1731zbMath1497.13037OpenAlexW4293214555MaRDI QIDQ5098856

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Publication date: 31 August 2022

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1731

zbMATH Keywords

GCD domainpower series rings

Mathematics Subject Classification ID

Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Formal power series rings (13F25)

Cites Work

• Splitting the t-class group
• The local \(S\)-class group of an integral domain
• On the class group and S-class group of formal power series rings
• π-domains, overrings, and divisorial ideals
• Anti-archimedean rings and power series rings
• GCD DOMAINS AND POWER SERIES RINGS
• On S-GCD domains
• Unique factorization and S-Picard groups of domains of power series
• On unique factorization domains
• The \(A+ XB[X\) and \(A+ XBX\) constructions from \(GCD\)-domains]
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