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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Rates of growth of p.i. algebras


Author: Allan Berele
Journal: Proc. Amer. Math. Soc. 120 (1994), 1047-1048
MSC: Primary 16R99; Secondary 16P90
DOI: https://doi.org/10.1090/S0002-9939-1994-1204370-3
MathSciNet review: 1204370
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Abstract: Let $ A$ be any p.i. algebra in characteristic zero. Then the $ {\text{GK}}$-dimension of finitely generated subalgebras is linearly bounded in the number of generators.


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DOI: https://doi.org/10.1090/S0002-9939-1994-1204370-3
Article copyright: © Copyright 1994 American Mathematical Society