We propose an algorithm for computing the radical of a polynomial ideal in positive characteristic. The algorithm does not involve polynomial factorization.
Normality of Certain Nilpotent Varieties in Positive Characteristic
β Scribed by Jesper Funch Thomsen
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 144 KB
- Volume
- 227
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
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 GrΓΆbner basis conversion algorithm is performed at most n log p d times
We work over any algebraically closed field F. However the applications are not vacuos only if char (F) > 0. A finite set S in a projective space V is said to be in t-unifomn position, t an integer, if for any two subsets A , B of S with card it is in t-uniform position for every t. 9 is called in