Varieties with at most quadratic growth

DOI10.1007/S11856-010-0063-4zbMath1223.17007OpenAlexW2083672986MaRDI QIDQ607832

Sumit K. Garg

Publication date: 6 December 2010

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-010-0063-4

zbMATH Keywords

codimension growthnon-associative algebras with polynomial identityvarieties of algebras, codimension sequence

Mathematics Subject Classification ID

(T)-ideals, identities, varieties of associative rings and algebras (16R10) Nonassociative algebras satisfying other identities (17A30) Free nonassociative algebras (17A50)

Related Items (10)

Codimension sequences and their asymptotic behavior ⋮ Varieties with at most cubic growth ⋮ Polynomial codimension growth and the Specht problem ⋮ Codimension and colength sequences of algebras and growth phenomena ⋮ Nilpotent varieties and metabelian varieties ⋮ Correspondence between some metabelian varieties and left nilpotent varieties ⋮ Example of a linear algebra variety with the polynomial growth lower than three ⋮ On almost nilpotent varieties of subexponential growth ⋮ On the varieties of commutative metabelian algebras ⋮ An almost nilpotent variety of exponent 2

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homogeneous polynomial identities
• On codimension growth of finitely generated associative algebras
• Exponential codimension growth of PI algebras: an exact estimate
• An example of a variety of Lie algebras with a fractional exponent
• PI-algebras with slow codimension growth.
• Existence of identities in \(A \otimes B\)
• Lower bound on the dimensions or irreducible representations of symmetric groups and on the exponents of varieties of Lie algebras

This page was built for publication: Varieties with at most quadratic growth