SEMIPRIME QUADRATIC ALGEBRAS OF GELFAND–KIRILLOV DIMENSION ONE

DOI10.1142/S0219498804000848zbMath1080.16016OpenAlexW1987830877MaRDI QIDQ4657683

Okniński, Jan, Eric Jespers, Ferran Cedó

Publication date: 14 March 2005

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498804000848

zbMATH Keywords

relationsgrowthpresentationsGelfand-Kirillov dimensionPI algebrasquadratic algebrasNoetherian algebrassemiprime algebrasmonoid algebras

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Growth rate, Gelfand-Kirillov dimension (16P90) Semigroup rings, multiplicative semigroups of rings (20M25) Noetherian rings and modules (associative rings and algebras) (16P40) Quadratic and Koszul algebras (16S37)

Related Items (2)

Set-theoretic solutions of the Yang-Baxter equation, associated quadratic algebras and the minimality condition ⋮ The Gelfand-Kirillov dimension of quadratic algebras satisfying the cyclic condition

Cites Work

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• Skew polynomial rings with binomial relations
• Binomial semigroups
• Semigroups of \(I\)-type
• Quadratic algebras of skew type and the underlying monoids.
• Homological properties of Sklyanin algebras
• Set-theoretical solutions to the quantum Yang-Baxter equation

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