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The Identity (X 2)2 = W(X)X 3 in Baric Algebras

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Non-Associative Algebra and Its Applications

Part of the book series: Mathematics and Its Applications ((MAIA,volume 303))

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Abstract

In this paper we study the identity (x 2)2 = w(x)x 3 and we prove that this identity characterizes power-associative Bernstein algebras of order 2, A = Ke ⊕U ⊕ V 2 with v 3 = 0 for every v ∈ V 2. Moreover, we study the generalized Etherington’s ideals of A.

Partially supported by Fondecyt 19309843 and D.T.I. Universidad de Chile, E-3276/9322. A.M.S. (1991) Subject classification: 17 A 30, 17 D 92.

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References

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Author information

Authors and Affiliations

  1. Departamento de Matemáticas. Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile

    Raúl Andrade & Alicia Labra

  2. Departamento de Matemáticas, Universidad de la Frontera, Casilla 54-D, Temuco, Chile

    Abdón Catalán

Authors
  1. Raúl Andrade
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  2. Alicia Labra
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  3. Abdón Catalán
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Oviedo, Oviedo, Spain

    Santos González

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© 1994 Springer Science+Business Media Dordrecht

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Andrade, R., Labra, A., Catalán, A. (1994). The Identity (X 2)2 = W(X)X 3 in Baric Algebras. In: González, S. (eds) Non-Associative Algebra and Its Applications. Mathematics and Its Applications, vol 303. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0990-1_3

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  • DOI: https://doi.org/10.1007/978-94-011-0990-1_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4429-5

  • Online ISBN: 978-94-011-0990-1

  • eBook Packages: Springer Book Archive

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