Using Gröbner bases for detecting polynomial identities: A case study on Fermat's ideal

DOI10.1016/0022-314X(92)90125-9zbMath0765.13010MaRDI QIDQ1199983

Juan Elias, Bruno Buchberger

Publication date: 17 January 1993

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Gröbner basispolynomial identitiesHilbert functionsFermat polynomials

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Higher degree equations; Fermat's equation (11D41) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Cites Work

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• Über die freien Auflösungen extremaler Cohen-Macaulay-Ringe
• Comments on the translation of my PhD thesis: ``An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal
• 1-dimensional Cohen-Macaulay rings
• On the analytic equivalence of curves

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