Anomalies on codimension growth of algebras.

DOI10.1515/forum-2014-0185zbMath1350.16018OpenAlexW2468566986MaRDI QIDQ302305

Antonio Giambruno, Mikhail V. Zaicev

Publication date: 5 July 2016

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2014-0185

zbMATH Keywords

Lie algebrasJordan algebrasexponential growthpolynomial identitiesPI algebrascodimension sequencesnonassociative algebrasgrowth of algebrasPI exponents

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Identities, free Lie (super)algebras (17B01) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Identities and free Jordan structures (17C05) Nonassociative algebras satisfying other identities (17A30)

Related Items (5)

Codimension sequences and their asymptotic behavior ⋮ Polynomial codimension growth and the Specht problem ⋮ Polynomial identities and algebraic combinatorics on words ⋮ ℤ2-graded codimensions of unital algebras ⋮ The theory of formal languages and identities of nonassociative algebras

Cites Work

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• Growth of polynomial identities: is the sequence of codimensions eventually non-decreasing?

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