Real algebraic geometry and the 17th Hilbert problem
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Publication:1135324
DOI10.1007/BF01428942zbMath0425.14004OpenAlexW2077950661MaRDI QIDQ1135324
Jacek Bochnak, Gustave A. Efroymson
Publication date: 1980
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/163437
Hilbert's 17th problemreal NullstellensatzTarski-Seidenberg principlering of Nash functionsequivariant Nash ringssemi-algebraic ring
Real-analytic and Nash manifolds (58A07) Generalizations (algebraic spaces, stacks) (14A20) Real-analytic manifolds, real-analytic spaces (32C05) Real algebraic and real-analytic geometry (14Pxx)
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Cites Work
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- On equivalence of ideals of real global analytic functions and the 17th Hilbert problem
- On the unique factorization property of the ring of Nash functions
- Fonctions différentiables invariantes sous l'opération d'un groupe réductif
- A Nullstellensatz for Nash rings
- On algebraic curves over real closed fields. I
- Substitution in Nash functions
- Sur la factorialite des anneaux de fonctions de Nash
- Positive symmetric functions
- On periodic points
- A nullstellensatz for ordered fields
- An algebraization of vector bundles on compact manifolds
- Introduction to model theory and to the metamathematics of algebra
- Real algebraic manifolds
- Sur Le 17eme Probleme de Hilbert Pour Les Fonctions de Nash
- Nash Rings on Planar Domains
- Topological Examples of Projective Modules
- Le théorème des zéros pour les variétés analytiques réelles de dimension $2$
- Sur l'anneau des fonctions de Nash globales
- Decision procedures for real and p‐adic fields
