Trace codimensions of algebras and their exponential growth

DOI10.1007/s11856-022-2414-3zbMath1525.16019OpenAlexW4311130763MaRDI QIDQ6103910

Antonio Ioppolo, Daniela La Mattina, Antonio Giambruno

Publication date: 5 June 2023

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

Full work available at URL: https://doi.org/10.1007/s11856-022-2414-3

zbMATH Keywords

growthPI-algebracodimension sequencealgebras with trace

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Growth rate, Gelfand-Kirillov dimension (16P90) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Cites Work

• Codimensions and trace codimensions of matrices are asymptotically equal
• Trace identities on diagonal matrix algebras
• Properties of hook Schur functions with applications to P. I. algebras
• A formal inverse to the Cayley-Hamilton theorem
• A minimal basis of identities for a second-order matrix algebra over a field of characteristic 0
• The invariant theory of \(n\times n\) matrices
• On codimension growth of finitely generated associative algebras
• Exponential codimension growth of PI algebras: an exact estimate
• Asymptotic values for degrees associated with strips of Young diagrams
• Finite basing of the identities of a matrix algebra of second order over a field of characteristic zero
• Matrix algebras with degenerate traces and trace identities
• Trace identities and almost polynomial growth
• Existence of identities in \(A \otimes B\)
• Asymptotic behaviour of codimensions of p. i. algebras satisfying Capelli identities
• Growth of polynomial identities: is the sequence of codimensions eventually non-decreasing?
• Exponential bounds on trace codimensions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Trace codimensions of algebras and their exponential growth