On the class group and S-class group of formal power series rings

DOI10.1016/J.JPAA.2017.02.007zbMath1369.13015OpenAlexW2591185227MaRDI QIDQ2363263

Ahmed Hamed, Sana Hizem

Publication date: 13 July 2017

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2017.02.007

zbMATH Keywords

class groupformal power seriesS-class group

Mathematics Subject Classification ID

Integral domains (13G05) 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 (9)

A new characterization of GCD domains of formal power series ⋮ On the \(S\)-class group of the monoid algebra \(D[\Gamma\)] ⋮ Unnamed Item ⋮ Generalization of Artinian rings and the formal power series rings ⋮ On S-GCD domains ⋮ Unique factorization and S-Picard groups of domains of power series ⋮ Unnamed Item ⋮ The local \(S\)-class group of an integral domain ⋮ Generalizations of Nagata’s theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On \(S\)-strong Mori domains
• On the converse of a well-known fact about Krull domains
• Some remarks on star operations and the class group
• The class group of \(D+M\)
• \(t\)-linked extensions, the \(t\)-class group, and Nagata's theorem
• Note generalizing a result of Samuel's
• On t- Spec(R[[X])]
• On unique factorization domains

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