Maximal ideals of regulous functions are not finitely generated

DOI10.1016/j.jpaa.2018.05.019zbMath1402.14075OpenAlexW2807385262WikidataQ129741833 ScholiaQ129741833MaRDI QIDQ1621594

Aleksander Czarnecki

Publication date: 9 November 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2018.05.019

zbMATH Keywords

rational functionmaximal idealreal algebraic variety\(k\)-regulous function

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Nash functions and manifolds (14P20) Real rational functions (26C15)

Related Items (2)

Approximation and homotopy in regulous geometry ⋮ Sums of even powers of \(k\)-regulous functions

Cites Work

• Unnamed Item
• Regulous functions
• Some results of algebraic geometry over Henselian rank one valued fields
• Continuous functions on the plane regular after one blowing-up
• Continuous rational functions on real and \(p\)-adic varieties
• Nash regulous functions
• A closedness theorem and applications in geometry of rational points over Henselian valued fields

This page was built for publication: Maximal ideals of regulous functions are not finitely generated