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arXiv · 2608.07058

On the Radical Computation of Parametric Ideals over Finite Fields

Kazuki Tanaka
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Abstract

Matsumoto's algorithm for computing the radical of a polynomial ideal is generalized to the parametric setting within the framework of symbolic computation. The main tool is a comprehensive Gr\"obner system over a finite field, also known as a parametric Gr\"obner basis. As a result, an algorithm for computing the radical of a parametric ideal over a finite field is proposed.

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Kazuki Tanaka. 2026-08-07. On the Radical Computation of Parametric Ideals over Finite Fields. https://arxiv.org/abs/2608.07058

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