Record number :

805566

Title of article :

Computing the Radical of an Ideal in Positive Characteristic

Author/Authors :

Ryutaroh Matsumoto، نويسنده ,

Issue Information :

روزنامه با شماره پیاپی سال 2001

Pages :

9

From page :

263

To page :

271

Abstract :

We propose a method for computing the radical of an arbitrary ideal in the polynomial ring in n variables over a perfect field of characteristic p > 0. In our method Buchberger’s algorithm is performed once in n variables and a Gröbner basis conversion algorithm is performed at most n pd times in 2 n variables, where d is the maximum of total degrees of generators of the ideal and 3. Next we explain how to compute radicals over a finitely generated coefficient field over a field K, when we have a radical computation method over the field K. Thus we can compute radicals over any finitely generated field over a perfect field.

Journal title :

Journal of Symbolic Computation

Link To Document :