Algebra of bounded polynomials on a set Zariski closed at infinity cannot be finitely generated

DOI10.1016/j.bulsci.2013.02.006zbMath1308.14063OpenAlexW2028093958MaRDI QIDQ390544

Maria Michalska

Publication date: 8 January 2014

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2013.02.006

zbMATH Keywords

semialgebraic setfinitely generated algebrabounded polynomialsproper mapping

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Real algebraic and real-analytic geometry (14P99)

Related Items (2)

Algebra of polynomials bounded on a semi-algebraic set \([ f\leq r \)] ⋮ A note on nondegenerate matrix polynomials

Cites Work

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• A counterexample to the fourteenth problem of Hilbert in dimension three
• Stability of quadratic modules
• Effective formulas for the Łojasiewicz exponent at infinity
• Testing sets for properness of polynomial mappings
• Sums of squares on real algebraic curves
• Geometry of real polynomial mappings
• The ring of bounded polynomials on a semi-algebraic set
• Positivity, sums of squares and the multi-dimensional moment problem
• On the moment problem of closed semi-algebraic sets
• Global Optimization of Polynomials Using Gradient Tentacles and Sums of Squares

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