The sequence of codimensions of PI-algebras

DOI10.1007/BF02760558zbMath0534.16012MaRDI QIDQ790218

S. A. Amitsur

Publication date: 1984

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

zbMATH Keywords

polynomial identitiesYoung diagramscodimensionsT-idealcocharacters of PI-algebrasleft module of symmetric group

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Rings with polynomial identity (16Rxx)

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The mathematics of Amitai Regev ⋮ The growth exponent of a variety of algebras and its applications ⋮ Polynomial identities for a family of simple jordan algebras ⋮ Zariski closed algebras in varieties of universal algebra. ⋮ Burnside-type problems, theorems on height, and independence.

Cites Work

• Codimensions and trace codimensions of matrices are asymptotically equal
• Applications of hook Young diagrams to P.I. algebras
• PI-algebras and their cocharacters
• The representations of \(S_n\) and explicit identities for P. I. algebras
• Unnamed Item