On codimension growth of finitely generated associative algebras

DOI10.1006/aima.1998.1766zbMath0920.16012OpenAlexW2035923919MaRDI QIDQ1281884

Mikhail V. Zaicev, Antonio Giambruno

Publication date: 19 July 1999

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1998.1766

zbMATH Keywords

central simple algebrasalgebras with polynomial identitiesfinitely generated algebrascodimensions of T-idealsWedderburn-Malcev decompositions

Mathematics Subject Classification ID

(T)-ideals, identities, varieties of associative rings and algebras (16R10) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

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Cites Work

• Unnamed Item
• Unnamed Item
• A conjecture of Regev about the Capelli polynomial
• Codimensions and trace codimensions of matrices are asymptotically equal
• Applications of hook Young diagrams to P.I. algebras
• Algebras satisfying a Capelli identity
• Asymptotic values for degrees associated with strips of Young diagrams
• On the codimensions of the verbally prime P.I. algebras
• Existence of identities in \(A \otimes B\)
• Simple and semisimple Lie algebras and codimension growth

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