Generating ideals in real holomorphy rings

DOI10.1016/0021-8693(91)90123-PzbMath0749.14038MaRDI QIDQ1178871

Wojciech Kucharz

Publication date: 26 June 1992

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

zbMATH Keywords

valuation ringsreal holomorphy ringformally real residue fields

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Related Items (2)

The Zariski-Riemann Space of Valuation Rings ⋮ Density of composite places in function fields and applications to real holomorphy rings

Cites Work

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• n-generator ideals in Prüfer domains
• Prime divisors on real varieties and valuation theory
• Generating ideals in Prüfer domains
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Invertible ideals in real holomorphy rings.
• Über die erzeugendenanzahl invertierbarer ideale in prüferringen
• Valuations and real places in the theory of formally real fields

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