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On the Radical of a Polynomial Ideal with Parameters

  • Ryosuke Kuramochi,
  • Kazuki Tanaka,
  • Katsusuke Nabeshima

摘要

A parametric radical system is introduced as a new concept within parametric ideals. It is demonstrated that an algorithm for computing the radical of a non-parametric ideal can be generalized to its parametric version by utilizing several tools related to parametric ideals. The keys to this generalization are two types of comprehensive Gröbner systems.