Numerical Invariants of Identities of Unital Algebras

DOI10.1080/00927872.2014.924130zbMath1335.16014arXiv1602.02942OpenAlexW1748780755MaRDI QIDQ3448262

Mikhail V. Zaicev, Dušan D. Repovš

Publication date: 23 October 2015

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

Full work available at URL: https://arxiv.org/abs/1602.02942

zbMATH Keywords

exponential growthpolynomial identitiescodimension sequencescodimension growthPI-exponentsnon-associative unital 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 (6)

Codimension sequences and their asymptotic behavior ⋮ 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 ⋮ On existence of PI-exponents of unital algebras

Cites Work

• Finite-dimensional non-associative algebras and codimension growth
• Identities of unitary finite-dimensional algebras.
• Proper identities, Lie identities and exponential codimension growth.
• T-ideals with power growth of the codimensions are Specht
• On codimension growth of finitely generated associative algebras
• Exponential codimension growth of PI algebras: an exact estimate
• Codimensions of algebras and growth functions
• On codimension growth of finite-dimensional Lie superalgebras
• Polynomial Identities of Algebras of Small Dimension

This page was built for publication: Numerical Invariants of Identities of Unital Algebras