A nullstellensatz for ideals of \(C^\infty\) functions in dimension 2

DOI10.14492/hokmj/2019-201zbMath1485.14107OpenAlexW4200264241MaRDI QIDQ2073173

Hirofumi Kondo

Publication date: 27 January 2022

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/2019-201

zbMATH Keywords

Nullstellensatzreal radicalclosed idealzero propertyŁojasiewicz ideal

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Real-analytic and semi-analytic sets (14P15) (C^infty)-functions, quasi-analytic functions (26E10) Real-analytic functions (26E05) Rings and algebras of continuous, differentiable or analytic functions (46E25) Real-analytic manifolds, real-analytic spaces (32C05)

Cites Work

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• Le théorème des zéros pour les idéaux de fonctions différentiables en dimension 2 et 3
• Criteria for finite generation of ideals of differentiable functions
• Note on \(C^\infty\) functions with the zero property
• Sur le théorème des zéros de Hilbert 'différentiable'
• A Nullstellensatz for Łojasiewicz ideals
• A nullstellensatz for ordered fields
• Ideaux de l'anneau des séries formelles à coefficients réels et variétés associees
• Finitely Generated Ideals of Differentiable Functions
• On Ideals of Differentiable Functions

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