Monomial algebras defined by Lyndon words.

DOI10.1016/j.jalgebra.2014.01.012zbMath1310.16018arXiv1207.6256OpenAlexW2074716363MaRDI QIDQ2253027

Tatiana Gateva-Ivanova, Gunnar Fløystad

Publication date: 25 July 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6256

zbMATH Keywords

graded algebrasglobal dimensionmonomial algebrasArtin-Schelter regular algebrasLyndon wordsalgebras of polynomial growthPoincaré-Birkhoff-Witt bases

Mathematics Subject Classification ID

Combinatorics on words (68R15) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Growth rate, Gelfand-Kirillov dimension (16P90) Deformations of associative rings (16S80) Graded rings and modules (associative rings and algebras) (16W50) Computational aspects of associative rings (general theory) (16Z05) Homological dimension in associative algebras (16E10)

Related Items (5)

Algebras defined by Lyndon words and Artin-Schelter regularity ⋮ Lyndon words and Fibonacci numbers ⋮ The structure of connected (graded) Hopf algebras revisited ⋮ HOMOGENEOUS PBW DEFORMATION FOR ARTIN–SCHELTER REGULAR ALGEBRAS ⋮ The structure of connected (graded) Hopf algebras

Cites Work

• Lyndon words and Fibonacci numbers
• Quadratic algebras, Yang-Baxter equation, and Artin-Schelter regularity
• Artin-Schelter regular algebras of dimension five
• On Monomial Algebras of Finite Global Dimension
• On the Homology of Associative Algebras
• Standard Lyndon Bases of Lie Algebras and Enveloping Algebras
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