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Communications in Algebra Volume 29, 2001 - Issue 11
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Original Articles

TWO NUMERICAL INVARIANTS FOR BERNSTEIN ALGEBRAS

R. Costa Instituto de Matemática e Estatística, Universidade de São Paulo, Caixa Postal 66281 - Agência Cidade de São Paulo, São Paulo, 05315-970, Brazil
&
L. S. Ikemoto Murakami Instituto de Matemática e Estatística, Universidade de São Paulo, Caixa Postal 66281 - Agência Cidade de São Paulo, São Paulo, 05315-970, Brazil
Pages 5261-5278 | Received 01 May 2000, Published online: 01 Feb 2007
 
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Abstract

We deal with two numerical invariants for Bernstein algebras, derived from the study of their multiplication algebras: the dimension of these algebras and the maximum rank of their elements.

ACKNOWLEDGMENT

The first author was sponsored by CNPq Research Fellowship Proc. 300645/93-7 and the second, by FAPESP Proc. 95/2251-0.

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