Computation of the radical of polynomial ideals over fields of arbitrary characteristic

  • Authors:
  • Elisabetta Fortuna;Patrizia Gianni;Barry Trager

  • Affiliations:
  • Univ. di Pisa, Pisa, Italy;Univ. di Pisa, Pisa, Italy;IBM T.J. Watson Research Center, Yorktown Heights, NY

  • Venue:
  • Proceedings of the 2001 international symposium on Symbolic and algebraic computation
  • Year:
  • 2001

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Abstract

We study the problem of the computation of the radical of an ideal of polynomials with coefficients over fields of arbitrary characteristic. We show how to use Seidenberg's condition P to solve this problem in the case of positive characteristic.