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Identities in the varieties generated by the algebras of upper triangular matrices

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Publication:546223
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DOI10.1134/S0037446611020169zbMath1259.15023WikidataQ58389698 ScholiaQ58389698MaRDI QIDQ546223

S. M. Ratseev

Publication date: 24 June 2011

Published in: Siberian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

growth of varietiesvariety of algebrasassociative algebrasalgebra of upper triangular matrices over a field


Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) (T)-ideals, identities, varieties of associative rings and algebras (16R10)


Related Items (1)

Numerical characteristics of varieties of Poisson algebras



Cites Work

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  • The growth of varieties of Leibniz algebras with nilpotent commutator subalgebra
  • Applications of hook Young diagrams to P.I. algebras
  • On codimension growth of finitely generated associative algebras
  • Exponential codimension growth of PI algebras: an exact estimate
  • Existence of polynomial identities in $A \otimes \,_F B$
  • On the complexity functions for T-ideals of associative algebras


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