On the computation of matrices of traces and radicals of ideals
✍ Scribed by Itnuit Janovitz-Freireich; Bernard Mourrain; Lajos Rónyai; Ágnes Szántó
- Book ID
- 113756523
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 359 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0747-7171
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In the present paper we describe an algorithm for the computation of real radicals of polynomial ideals. Moreover, results concerning the computational requirements and the complexity as well as some theoretical consequences are presented. @ 1998 Elsevier Science B.V.
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 log p d times