On idempotents and isomorphisms of multiplication algebras of bernstein algebras

R. Costa Departamento de Matemática, Instituto de Matemática e Estatística, Universidade de São Paulo, Caixa Postal 66281, São Paulo, SP, 05315-970, Brazil E-mail: [email protected], [email protected]

L.S. Ikemoto Murakami Departamento de Matemática, Instituto de Matemática e Estatística, Universidade de São Paulo, Caixa Postal 66281, São Paulo, SP, 05315-970, Brazil E-mail: [email protected], [email protected]

Abstract

The purpose of this paper is twofold. First of all we characterize Bernstein algebras having a nilpotent kernel using idempotents of their multiplication algebras. Secondly, we describe some properties of Bernstein algebras which are preserved by isomorphisms of their multiplication algebras.

1991 Mathematics Subject Classification 1991:

17D92

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On idempotents and isomorphisms of multiplication algebras of bernstein algebras

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