The local \(S\)-class group of an integral domain

DOI10.1216/RMJ-2018-48-5-1585zbMath1455.13006OpenAlexW2897365274MaRDI QIDQ1799914

Ahmed Hamed

Publication date: 19 October 2018

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1539936037

zbMATH Keywords

formal power serieslocal class groupS-invertible ideal

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 (4)

A new characterization of GCD domains of formal power series ⋮ On the \(S\)-class group of the monoid algebra \(D[\Gamma\)] ⋮ Unique factorization and S-Picard groups of domains of power series ⋮ Generalizations of Nagata’s theorem

Cites Work

• Some remarks on star operations and the class group
• Prüfer v-multiplication domains and the ring \(R[X_{N_ v}\)]
• Integral domains in which each t-ideal is divisorial
• On the class group and S-class group of formal power series rings
• \(t\)-linked extensions, the \(t\)-class group, and Nagata's theorem
• On generalized Dedekind domains
• On a property of pre-schreier domains
• On divisorial ideals in polynomial rings over mori domains
• The Local Class Group of a Krull Domain
• π-domains, overrings, and divisorial ideals
• S-NOETHERIAN RINGS
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