Central polynomials and growth functions

DOI10.1007/S11856-018-1704-2zbMath1432.16024OpenAlexW2805334816WikidataQ129712297 ScholiaQ129712297MaRDI QIDQ1670333

Antonio Giambruno, Mikhail V. Zaicev

Publication date: 5 September 2018

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

Full work available at URL: https://doi.org/10.1007/s11856-018-1704-2

zbMATH Keywords

growth functionsPI-exponent

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Chain conditions, growth conditions, and other forms of finiteness for associative rings and algebras (16P99)

Related Items (9)

Growth of central polynomials of verbally prime algebras ⋮ Central polynomials of algebras and their growth ⋮ On central polynomials and codimension growth ⋮ Images of multilinear graded polynomials on upper triangular matrix algebras ⋮ Non integral exponential growth of central polynomials ⋮ Central polynomials of associative algebras and their growth ⋮ Codimension growth of central polynomials of Lie algebras ⋮ Growth of central polynomials of algebras with involution ⋮ Central polynomials of graded algebras: capturing their exponential growth

Cites Work

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• A conjecture of Regev about the Capelli polynomial
• Applications of hook Young diagrams to P.I. algebras
• The representations of \(S_n\) and explicit identities for P. I. algebras
• 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
• Minimal varieties of algebras of exponential growth.
• Growth for algebras satisfying polynomial identities.
• Central polynomials for matrix rings
• Existence of identities in \(A \otimes B\)

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