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Archiv der Mathematik

, Volume 79, Issue 1, pp 27–33 | Cite as

The bar-radical in power-associative nth-order Bernstein algebras

  • H. Guzzo Jr.
  • P. Vicente
Article
  • 39 Downloads

Abstract.

In this paper we prove that if \( (A, \omega) \) is a power-associative nth-order Bernstein algebra, then the bar-radical of \( (A, \omega) \) is contained in (bar(A))2. When \( (A, \omega) \) is Jordan, then the bar-radical is (bar(A))2.

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Copyright information

© Birkhäuser Verlag, Basel 2002

Authors and Affiliations

  • H. Guzzo Jr.
    • 1
  • P. Vicente
    • 2
  1. 1.Universidade de São Paulo, Instituto de Matemática e Estatística, Caixa Postal 66281, 05315-970, São Paulo, Brazil, e-mail: guzzo@ime.usp.brBrazil
  2. 2.Universidad de León, Campus de Vegazana, Departamento de Matemáticas, 24071, León, Spain,¶ e-mail: demmvm@unileon.esSpain

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