Effective localization using double ideal quotient and its implementation

DOI10.1007/978-3-319-99639-4_19zbMath1453.13012arXiv2003.00220OpenAlexW3101742589MaRDI QIDQ1798329

Yuki Ishihara, Kazuhiro Yokoyama

Publication date: 23 October 2018

Full work available at URL: https://arxiv.org/abs/2003.00220

zbMATH Keywords

Gröbner basislocalizationprimary decomposition

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (3)

A signature-based algorithm for computing the nondegenerate locus of a polynomial system ⋮ Constructive arithmetics in Ore localizations enjoying enough commutativity ⋮ Efficient localization at a prime ideal without producing unnecessary primary components

Uses Software

• Risa/Asir
• SINGULAR

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