Complete Ideals Defined by Sign Conditions and the Real Spectrum of a Two‐dimensional Local Ring

DOI10.1002/mana.19951740103zbMath0849.13014arXivalg-geom/9312002OpenAlexW2592823110MaRDI QIDQ4845825

James J. Madden, Dean Alvis, Bernhard Johnston

Publication date: 11 November 1996

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9312002

zbMATH Keywords

real spectrumPierce-Birkhoff conjecturecomplete idealsideal transformtotal orderingquadratic transformstwo-dimensional regular local ringsseparating ideals

Mathematics Subject Classification ID

Real algebraic sets (14P05) Actions of groups on commutative rings; invariant theory (13A50) Regular local rings (13H05) Relevant commutative algebra (14A05)

Related Items (4)

Henriksen and Isbell on \(f\)-rings ⋮ On the Pierce-Birkhoff conjecture for smooth affine surfaces over real closed fields ⋮ On the Pierce-Birkhoff conjecture ⋮ On the Pierce-Birkhoff conjecture in three variables

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