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

Abstract

In this paper is defined the notion of Bernstein representation and it is proved that every irreducible module over a nuclear Bernstein algebra is one-dimensional.

The notion of universal representation of a Bernstein algebra is also introduced and some properties of this algebra are estudied by using properties of the given algebra.

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

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References

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© 1994 Springer Science+Business Media Dordrecht

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Bernad, J., Iltyakov, A., Martinez, C. (1994). Bernstein Representations. 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_7

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  • DOI: https://doi.org/10.1007/978-94-011-0990-1_7

  • 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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