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Rings of differentiable semialgebraic functions

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Publication:6593977
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DOI10.1007/s00029-024-00965-zMaRDI QIDQ6593977

José F. Fernando, Jose Manuel Gamboa, Elías Baro

Publication date: 27 August 2024

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)



zbMATH Keywords

Nash functionsreal closed ringreal closed fieldreal closuredifferentiable semialgebraic function of class \(r\)Łojasiewicz's nullstellensatzZariski and maximal spectra


Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Semialgebraic sets and related spaces (14P10) Rings and algebras of continuous, differentiable or analytic functions (46E25) Chain conditions, finiteness conditions in commutative ring theory (13E99)








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