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Malcev Superalgebras

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Non-Associative Algebra and Its Applications

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

Abstract

Most of the results in [1] concerning Malcev superalgebras are briefly summarized.

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References

  1. H. Albuquerque, Contribuções para a teoria das superálgebras de Malcev, (Portuguese). Doctoral Thesis, Coimbra 1993.

    Google Scholar 

  2. H. Albuquerque and A. Elduque, Engel’s Theorem for Malcev Superalgebras, Commun. Algebra, to appear.

    Google Scholar 

  3. H. Albuquerque and A. Elduque, Malcev Superalgebras with trivial nucleus, Commun. Algebra 21 (1993), 3147–3164.

    Article  MathSciNet  MATH  Google Scholar 

  4. N. Backhouse,A classification of four dimensional Lie superalgebras, J. Math. Phys. 19 (11) (1978), 2400–2402.

    Article  MathSciNet  MATH  Google Scholar 

  5. A. Elduque, A note on semiprime Malcev superalgebras, Proc. Royal Soc. Edinburgh 123A (1993), 887–891.

    Article  MathSciNet  MATH  Google Scholar 

  6. A. Elduque, On semisimple Malcev Algebras, Proc.Amer. Math. Soc. 107 (1989), 73–82.

    MathSciNet  MATH  Google Scholar 

  7. A. Elduque and A.A. El-Malek, On the J-nucleus of a Malcev algebra, Algebras Groups Geom. 3 (1986), 493–503.

    MathSciNet  MATH  Google Scholar 

  8. A. Elduque and I.P.Shestakov, On Malcev superalgebras with trivial nucleus, to appear in Nova J. Algebra Geom.

    Google Scholar 

  9. N. Jacobson, Lie Algebras, Interscience, New York 1962.

    MATH  Google Scholar 

  10. E.N. Kuzmin, Malcev algebras and their representations,Algebra and Logic 7 (1968), 233–244.

    Article  Google Scholar 

  11. J. Patera, R.T. Sharp and P. Winternitz, Invariants of real dimensions Lie Algebras, J. Math. Phys. 17 (6) (1976), 986–994.

    Article  MathSciNet  MATH  Google Scholar 

  12. A.A. Sagle, Malcev Algebras, Trans. Amer. Math. Soc. 101 (1961), 426–458.

    Article  MathSciNet  MATH  Google Scholar 

  13. I.P. Shestakov, Prime Malcev Superalgebras, Math. USSR. Sb. 74 (1993), 101–110.

    Article  MathSciNet  Google Scholar 

  14. E.T. Stitzinger, On nilpotent and solvable Malcev algebras, Proc. Amer. Math. Soc. 92 (1984), 157–163.

    Article  MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Departamento de Matemática, Universidade de Coimbra, 3000, Coimbra, Portugal

    Helena Albuquerque

Authors
  1. Helena Albuquerque
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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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Albuquerque, H. (1994). Malcev Superalgebras. 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_1

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  • DOI: https://doi.org/10.1007/978-94-011-0990-1_1

  • 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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