• Title of article

    Using resultants for SAGBI basis verification in the univariate polynomial ring

  • Author/Authors

    Anna Torstensson، نويسنده , , Victor Ufnarovski، نويسنده , , Hans ?fverbeck، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2005
  • Pages
    19
  • From page
    1087
  • To page
    1105
  • Abstract
    A resultant-type identity for univariate polynomials is proved and used to characterise SAGBI bases of subalgebras generated by two polynomials. A new equivalent condition, expressed in terms of the degree of a field extension, for a pair of univariate polynomials to form a SAGBI basis is derived.
  • Keywords
    Resultant , reduction , Subalgebra , Univariate polynomial ring , SAGBI basis
  • Journal title
    Journal of Symbolic Computation
  • Serial Year
    2005
  • Journal title
    Journal of Symbolic Computation
  • Record number

    805874