Gröbner bases for quadratic algebras of skew type

DOI10.1017/S0013091511000447zbMath1348.20062OpenAlexW2317937449MaRDI QIDQ2891991

Okniński, Jan, Ferran Cedó

Publication date: 18 June 2012

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091511000447

zbMATH Keywords

Gröbner basessemigroup ringsfinitely presented semigroupsregular languagesquadratic algebrasfree monoidsnormal form theoremssemigroups of I-type

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Free semigroups, generators and relations, word problems (20M05) Algebraic theory of languages and automata (68Q70) Semigroups in automata theory, linguistics, etc. (20M35) Semigroup rings, multiplicative semigroups of rings (20M25) Quadratic and Koszul algebras (16S37)

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Cites Work

• Noetherian semigroup algebras.
• Structure of prime finitely presented monomial algebras.
• Primitivity of finitely presented monomial algebras.
• Skew polynomial rings with binomial relations
• Semigroups of \(I\)-type
• Regular Gröbner bases
• A decomposition theorem for square-free unitary solutions of the quantum Yang-Baxter equation
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