Computing the radical of an ideal in positive characteristic

DOI10.1006/jsco.2001.0446zbMath1028.13010OpenAlexW2032308974WikidataQ57735050 ScholiaQ57735050MaRDI QIDQ5945292

Ryutaroh Matsumoto

Publication date: 10 October 2001

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsco.2001.0446

zbMATH Keywords

characteristic \(p\)polynomial ringBuchberger's algorithmcomputing the radicalGröbner basis conversion algorithm

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items

Computing generators of the ideal of a smooth affine algebraic variety, Implementation of prime decomposition of polynomial ideals over small finite fields, Quantum automata and algebraic groups, Computing invariants of algebraic groups in arbitrary characteristic, Derivations and radicals of polynomial ideals over fields of arbitrary characteristic, Normalization of rings, The calculation of radical ideals in positive characteristic

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