Computing the Radical of an Ideal in Positive Characteristic
نویسنده
چکیده
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 dn logp de times in 2n 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. c © 2001 Academic Press
منابع مشابه
The Calculation of Radical Ideals in Positive Characteristic
We propose an algorithm for computing the radical of a polynomial ideal in positive characteristic. The algorithm does not involve polynomial factorization.
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ورودعنوان ژورنال:
- J. Symb. Comput.
دوره 32 شماره
صفحات -
تاریخ انتشار 2001