Skip to main content
Log in

On the Frattini subalgebra of a Malcev algebra

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. D. W. Barnes, On Cartan subalgebras of Lie algebras. Math. Z.101, 350–355 (1967).

    Google Scholar 

  2. D. W. Barnes, On the cohomology of soluble Lie algebras. Math. Z101, 343–349 (1967).

    Google Scholar 

  3. D. W. Barnes andH. Castineau-Hills, On the theory of soluble Lie algebras. Math. Z106, 343–354 (1968).

    Google Scholar 

  4. D. W. Barnes andM. L. Newell, Some theorems on saturated homomorphs of soluble Lie algebras. Math. Z115, 179–187 (1970).

    Google Scholar 

  5. R. Carlsson, Malcev-Moduln. J. Reine Angew. Math.281, 199–210 (1976).

    Google Scholar 

  6. R. Carlsson, The first Whitehead lemma for Malcev algebras. Proc. Amer. Math. Soc.58, 79–84 (1976).

    Google Scholar 

  7. R. Carlsson, On the exceptional central simple non Lie Malcev algebras. Trans. Amer. Math. Soc.244, 175–184 (1978).

    Google Scholar 

  8. V. T. Fillpov, Zero divisors and nil elements in Malcev algebras. Alg. i Logika14, 204–214 (1975).

    Google Scholar 

  9. N.Jacobson, Lie algebras. New York 1962.

  10. E. N. Kuzmin, Malcev algebras and their representations. Alg. i. Logika4, 48–69 (1968).

    Google Scholar 

  11. N. Mahaligesshwara, A note on Malcev algebras and quasi-Lie algebras. Yokohama Math. J.22, 25–29 (1974).

    Google Scholar 

  12. E. L. Marshall, The Frattini subalgebra of a Lie algebra. J. London Math. Soc.42, 416–422 (1967).

    Google Scholar 

  13. T. S. Ravisankar, On Malcev algebras. Pacific J. Math.42, 227–234 (1972).

    Google Scholar 

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

    Google Scholar 

  15. A. Sagle, Simple Malcev algebras over a field of characteristic zero. Pacific J. Math.12, 1057–1078 (1962).

    Google Scholar 

  16. R. D.Schwarck, Die Frattini-Algebra einer Lie-Algebra. Dissertation, Universität Kiel 1963.

  17. G.Seligman, Modular Lie algebras. Berlin-New York 1967.

  18. E. L. Stitzinger, The Frattini subalgebra of a Lie algebra. J. London Math. Soc. (2)2, 429–438 (1970).

    Google Scholar 

  19. E. L. Stitzinger, Frattini subalgebra of class of solvable Lie algebra. Pacific J. Math.34, 177–182 (1970).

    Google Scholar 

  20. E. L. Stitzinger, Malcev algebras withJ 2-potent radical. Trans. Amer. Math. Soc.50, 1–9 (1975).

    Google Scholar 

  21. D. A. Towers, A Frattini theory for algebras. Proc. London Math. Soc.3, 440–462 (1973).

    Google Scholar 

  22. D. A. Towers, On complemented Lie algebras. J. London Math. Soc. (2)22, 63–65 (1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

el Malek, A.A. On the Frattini subalgebra of a Malcev algebra. Arch. Math 37, 306–315 (1981). https://doi.org/10.1007/BF01234362

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01234362

Navigation