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A Characterization of P.I. Algebras with Bounded Multiplicities of the Cocharacters

✍ Scribed by S.P Mishchenko; A Regev; M.V Zaicev

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
115 KB
Volume
219
Category
Article
ISSN
0021-8693

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✦ Synopsis

We characterize varieties of P.I. algebras with bounded multiplicities of the cocharacters: a variety is such if and only if it does not contain the upper triangular 2 Γ— 2 matrices. This also yields a characterization of the varieties with bounded colength.

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