No dialgebra has Gelfand-Kirillov dimension strictly between 1 and 2

DOI10.1080/03081087.2019.1710101zbMath1505.16031arXiv1904.12677OpenAlexW2997840545WikidataQ126394678 ScholiaQ126394678MaRDI QIDQ5023594

Bing Yu, Yuqun Chen, Zerui Zhang

Publication date: 24 January 2022

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.12677

zbMATH Keywords

associative algebraGelfand-Kirillov dimensiondialgebra

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Growth rate, Gelfand-Kirillov dimension (16P90) Nonassociative algebras satisfying other identities (17A30)

Related Items

Growth of nonsymmetric operads

Cites Work

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• Jordan algebras of Gelfand-Kirillov dimension one
• On Jordan doubles of slow growth of Lie superalgebras
• GRÖBNER–SHIRSHOV BASES FOR DIALGEBRAS
• On Lie algebras with nonintegral 𝑞-dimensions
• Dialgebras and related operads