Strong Gröbner bases and linear algebra in multivariate polynomial rings over Euclidean domains

DOI10.1016/J.EXMATH.2024.125627MaRDI QIDQ6656077

Erhard Aichinger

Publication date: 2 January 2025

Published in: Expositiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

Gröbner baseslinear algebraEuclidean domains

Mathematics Subject Classification ID

Associative rings and algebras (16-XX) Commutative algebra (13-XX)

Cites Work

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• Effective computation of strong Gröbner bases over Euclidean domains
• Computing a Gröbner basis of a polynomial ideal over a Euclidean domain
• On the D-bases of polynomial ideals over principal ideal domains
• Finiteness of the odd perfect and primitive abundant numbers with \(n\) distinct prime factors.
• On a problem of formal logic.
• Dickson's lemma, Higman's theorem and beyond: a survey of some basic results in order theory
• Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
• An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal
• Applications of strong Grobner bases over Euclidean domains
• Transfinitely valued Euclidean domains have arbitrary indecomposable order type

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