Lie, Jordan and proper codimensions of associative algebras.

DOI10.1007/s12215-008-0010-yzbMath1181.16019OpenAlexW2019760919MaRDI QIDQ1025426

Antonio Giambruno, Mikhail V. Zaicev

Publication date: 19 June 2009

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-008-0010-y

zbMATH Keywords

exponential growthT-idealspolynomial identitiescodimension sequencescodimensionsproducts of commutatorsPI exponentsfinitely generated PI algebrasmultilinear Jordan polynomialsmultilinear Lie polynomials

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (3)

Asymptotics of graded codimension of upper triangular matrices ⋮ Exponents of identities of group rings. ⋮ Codimension growth of algebras with adjoint unit

Cites Work

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