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An upper bound for the index of multiplicities in the cocharacters of PI-algebras

โœ Scribed by I. Ju. Sviridova

Book ID
106434814
Publisher
Springer US
Year
2007
Tongue
English
Weight
199 KB
Volume
140
Category
Article
ISSN
1573-8795

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Let F be a field, and let A be a finite-dimensional F-algebra. Write d s dim A, F and let e be the largest degree of the minimal polynomial for any a g A. Define ลฝ . ' the function f d, e s e 2dr e y 1 q 1r4 q er2 y 2. We prove that, if S is ลฝ . any finite generating set for A as an F-algebra, the