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On Lattice Isomorphism of Bernstein 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 Bernstein algebras and isomorphisms between their lattices of subalgebras are studied. The main result of the paper proves that if we have a lattice isomorphism between Bernstein algebras then it is always possible to define a new isomorphism between their lattices that keeps the nucleus.

Partially supported by D.G.A. P. CB.-6/91.

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References

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Author information

Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Oviedo, 33.007, Oviedo, Spain

    C. Martínez

  2. Departamento de Matemática Aplicada, Universidad de Zaragoza, 50.009, Zaragoza, Spain

    J. A. Sánchez-Nadal

Authors
  1. C. Martínez
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  2. J. A. Sánchez-Nadal
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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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Martínez, C., Sánchez-Nadal, J.A. (1994). On Lattice Isomorphism of Bernstein 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_44

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  • DOI: https://doi.org/10.1007/978-94-011-0990-1_44

  • 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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