Matrix algebras of polynomial codimension growth.

DOI10.1007/s11856-007-0017-7zbMath1127.16018OpenAlexW1990100486MaRDI QIDQ995371

Daniela La Mattina, Antonio Giambruno, Victor M. Petrogradsky

Publication date: 3 September 2007

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

Full work available at URL: https://doi.org/10.1007/s11856-007-0017-7

zbMATH Keywords

T-idealsbases of identitiesGrassmann algebraspolynomial identitiesfree algebrasalgebras of upper triangular matricesPI-algebrasmultilinear polynomials

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Growth rate, Gelfand-Kirillov dimension (16P90) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75)

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Cites Work

• Exact asymptotic behaviour of the codimensions of some P.I. algebras
• Codimensions of T-ideals and Hilbert series of relatively free algebras
• PI-algebras with slow codimension growth.
• Existence of identities in \(A \otimes B\)
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