Unique factorization and S-Picard groups of domains of power series

DOI10.1080/00927872.2018.1559324zbMath1419.13020OpenAlexW2914093548MaRDI QIDQ5384657

Ahmed Hamed, Hwankoo Kim

Publication date: 24 June 2019

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

Full work available at URL: https://doi.org/10.1080/00927872.2018.1559324

zbMATH Keywords

UFDKrull domainformal power series\(\pi\)-domain\(S\)-invertible ideal\(S\)-Picard group

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Formal power series rings (13F25) Class groups (13C20)

Related Items (2)

A new characterization of GCD domains of formal power series ⋮ On the \(S\)-class group of the monoid algebra \(D[\Gamma\)]

Cites Work

• Formal power series rings over a \(\pi \)-domain
• Some remarks on star operations and the class group
• Integral domains in which each t-ideal is divisorial
• Splitting the t-class group
• The class group of integral domains.
• The local \(S\)-class group of an integral domain
• On the class group and S-class group of formal power series rings
• On divisorial ideals in polynomial rings over mori domains
• π-domains, overrings, and divisorial ideals
• Anti-archimedean rings and power series rings
• S-NOETHERIAN RINGS
• On S-GCD domains
• On unique factorization domains
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