Generators for the Cm-closures of ideals

Charles Fefferman, Garving K. Luli

Research output: Contribution to journalArticlepeer-review

Abstract

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

Original languageEnglish (US)
Pages (from-to)965-1006
Number of pages42
JournalRevista Matematica Iberoamericana
Volume37
Issue number3
DOIs
StatePublished - 2021

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Algorithms
  • Closures of ideals
  • Generators
  • Ideals
  • Polynomial system
  • Real radical
  • Semialgebraic differential operator
  • Semialgebraic sets

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