Structural properties of the graph algebra \(K_3\).

DOI10.1016/j.jpaa.2007.06.012zbMath1143.16028OpenAlexW2040859387MaRDI QIDQ2463856

David Nacin

Publication date: 6 December 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2007.06.012

zbMATH Keywords

rootsgraphsHilbert seriesdivision ringsquadratic algebrasKoszul algebraspseudorootsnon-commutative polynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Quadratic and Koszul algebras (16S37)

Cites Work

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• The diamond lemma for ring theory
• The quadratic algebras associated with pseudo-roots of noncommutative polynomials are Koszul algebras.
• Koszul algebras associated to graphs
• Quadratic linear algebras associated with factorizations of noncommutative polynomials and noncommutative differential polynomials
• Noncommutative algebras associated to complexes and graphs

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