Identities of unitary finite-dimensional algebras.

DOI10.1007/s10469-011-9151-8zbMath1273.16020OpenAlexW2037654960MaRDI QIDQ694223

Mikhail V. Zaicev

Publication date: 11 December 2012

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-011-9151-8

zbMATH Keywords

growth functionscodimension sequencesPI-algebrasPI-exponentsfinite-dimensional unitary algebras

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Nonassociative algebras satisfying other identities (17A30) General theory of nonassociative rings and algebras (17A01)

Related Items (10)

Codimension sequences and their asymptotic behavior ⋮ Numerical Invariants of Identities of Unital Algebras ⋮ Exponential growth of codimensions of identities of algebras with unity ⋮ Polynomial identities and algebraic combinatorics on words ⋮ ℤ2-graded codimensions of unital algebras ⋮ Growth of codimensions of metabelian algebras ⋮ Codimension growth of algebras with adjoint unit ⋮ PI-exponents of some simple algebras with unit ⋮ On existence of PI-exponents of unital algebras ⋮ A four-dimensional simple algebra with fractional PI-exponent

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