Skip to main content
Log in

A note on modularity in Mal'cev algebras

  • 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 the Cohomology of Soluble Lie Algebras. Math. Z.101, 343–349 (1967).

    Google Scholar 

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

    Google Scholar 

  3. A. Elduque, On Supersolvable Maicev Algebras. Comm. Algebra (2)14, 311–321 (1986).

    Google Scholar 

  4. A. Elduque, On Maximal Subalgebras of Central Simple Malcev Algebras. J. of Algebra103, 216–227 (1986).

    Google Scholar 

  5. A.Elduque and V.R.Varea, Lie Algebras all of whose Subalgebras are Supersolvable. Proceedings of the “Lie Algebra and Related Topics” Conference, Windsor, Canada 1984.

  6. A. A. El Malek, On the Frattini Subalgebra of a Malcev Algebra. Arch. Math.37, 306–315 (1981).

    Google Scholar 

  7. A. A. El Malek, Modularity in Malcev Algebras. Arch. Math.44, 233–242 (1985).

    Google Scholar 

  8. R. Farnsteiner, On Ad-semisimple Lie Algebras. J. of Algebra83, 510–519 (1983).

    Google Scholar 

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

  10. B. Kolman, Semimodular Lie Algebras. J. Sci. Hiroshima Univ. Ser. A-I29, 149–163 (1965).

    Google Scholar 

  11. E. N. Kuzmin, Mal'tsev Algebras and their Representations. Algebra i Logika (4)7, 48–69 (1968).

    Google Scholar 

  12. E. N. Kuzmin, Levi's Theorem for Malcev Algebras. Algebra i Logika (4)16, 424–431 (1977).

    Google Scholar 

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

    Google Scholar 

  14. D. A. Towers, A Frattini Theory for Alegbras. Proc. London Math. Soc. (3)27, 440–462 (1973).

    Google Scholar 

  15. D. A. Towers, On Lie Algebras in which Modular pairs of Subalgebras are Permutable. J. of Algebra68, 369–377 (1981).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Partially supported by the CAICYT (Pr. 84-0778).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Elduque, A. A note on modularity in Mal'cev algebras. Arch. Math 50, 424–428 (1988). https://doi.org/10.1007/BF01196502

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01196502

Navigation