Multiplicative bases, Gröbner bases, and right Gröbner bases

DOI10.1006/jsco.1999.0324zbMath1002.16043OpenAlexW2025883030MaRDI QIDQ1569833

Edward Lee Green

Publication date: 6 August 2002

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

Full work available at URL: https://semanticscholar.org/paper/7acaf5781eaeafa44570d8e19e34d21315b1cdf4

zbMATH Keywords

algorithmselimination theorypath algebrashereditary ringsmultiplicative basesright Gröbner baseslinear systems of equations

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Representations of quivers and partially ordered sets (16G20) Computational aspects of associative rings (general theory) (16Z05)

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Cites Work

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• The representation theory of tensor algebras
• The diamond lemma for ring theory
• The alternating syzygy behavior of monomial algebras
• Projective resolutions of straightening closed algebras generated by minors
• Minimal projective resolutions
• Synergy in the Theories of Gröbner Bases and Path Algebras
• Constructing projective resolutions