Über die erzeugendenanzahl invertierbarer ideale in prüferringen

DOI10.1080/00927877908822406zbMath0432.13010OpenAlexW2013161834MaRDI QIDQ3869446

Heinz-Werner Schülting

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1080/00927877908822406

zbMATH Keywords

Prüfer domainfinitely generated ideal

Mathematics Subject Classification ID

Commutative rings and modules of finite generation or presentation; number of generators (13E15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (13)

The Zariski-Riemann Space of Valuation Rings ⋮ \(p\)-adic holomorphy rings and Kochen rings ⋮ Sums of squares in some integral domains ⋮ Direct sums of ideals ⋮ Generating ideals in real holomorphy rings ⋮ Convex subrings of partially ordered rings ⋮ Bezout domains with stable range 1 ⋮ Prüfer domains of integer-valued polynomials and the two-generator property ⋮ On flat finitely generated ideals ⋮ On relative real holomorphy rings ⋮ Finitely generated ideals of the ring of integer-valued polynomials ⋮ On a real places of a field and their holomorphy ring ⋮ The holomorphy rings of planar ternary rings with rational prime field

Cites Work

• Die Modelle des Hilbertschen Axiomensystems der absoluten Geometrie
• Generating ideals in Prüfer domains
• Reduzierte quadratische Formen und Semiordnungen reeller Körper
• Stable rings
• Lotschnittebenen mit halbierbarem rechtem Winkel
• On the number of generators of an invertible ideal
• The n-Generator Property for Commutative Rings

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