Generators for the Cm-closures of ideals

• Charles Fefferman ^[1] ; Garving K. Luli ^[2]
  1. [1] Princeton University

     Princeton University

     Estados Unidos

     
  2. [2] University of California at Davis
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 37, Nº 3, 2021, págs. 965-1006
• Idioma: inglés
• DOI: 10.4171/rmi/1218
• Texto completo no disponible (Saber más ...)
• Resumen

  • Let R denote the ring of real polynomials on Rn. Fix m≥0, and let A1,…,AM∈R. The \emph{Cm-closure} of (A1,…,AM), denoted here by [A1,…,AM;Cm], is the ideal of all f∈R expressible in the form f=F1A1+⋯+FMAM with each Fi∈Cm(Rn). In this paper we exhibit an algorithm for computing generators for [A1,…,AM;Cm].