Divisorial ideals in the power series ring \(A + XB \llbracket X \rrbracket\)

DOI10.1007/S40840-024-01724-1zbMATH Open1546.13005MaRDI QIDQ6587097

Hamed Ahmed

Publication date: 13 August 2024

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

zbMATH Keywords

class group\(t\)-ideal\(t\)-invertible ideal

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Formal power series rings (13F25) Class groups (13C20)

Cites Work

• Title not available (Why is that?)
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• Some remarks on star operations and the class group
• The class group of \(D+M\)
• Formally integrally closed domains and the rings \(R((X))\) and \(R\{\{X\}\}\)
• Dedekind-Mertens lemma and content formulas in power series rings
• The local \(S\)-class group of an integral domain
• On the class group and S-class group of formal power series rings
• \(t\)-linked extensions, the \(t\)-class group, and Nagata's theorem
• Unique factorization and S-Picard groups of domains of power series

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