Lyndon traces and shuffle algebras

DOI10.1016/0022-4049(94)90118-XzbMath0818.20072OpenAlexW2062005678MaRDI QIDQ1334807

Yuji Kobayashi, Masashi Katsura

Publication date: 22 September 1994

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

Full work available at URL: https://doi.org/10.1016/0022-4049(94)90118-x

zbMATH Keywords

Lyndon wordstrace monoidsfree commutative algebrasLyndon tracespartially commutative algebraspartially commutative shuffle products

Mathematics Subject Classification ID

Combinatorics on words (68R15) Free semigroups, generators and relations, word problems (20M05) Projective and free modules and ideals in commutative rings (13C10) Algebraic theory of languages and automata (68Q70) Semigroups in automata theory, linguistics, etc. (20M35)

Cites Work

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• Hopf algebras and identities in free partially commutative monoids
• Some properties of commutation in free partially commutative monoids
• On some equations in free partially commutative monoids
• Theory of traces
• Combinatorics on traces
• The free partially commutative Lie algebra: Bases and ranks
• A natural ring basis for the shuffle algebra and an application to group schemes
• Free partially commutative structures
• Combinatorial problems of commutation and rearrangements

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