Skip to main content
Log in

Joins of ideals of subideals of Lie 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. F. A. M. Aldosray, On Lie algebras with finiteness conditions. Hiroshima Math. J.13, 665–674 (1983).

    Google Scholar 

  2. F. A. M. Aldosray, Subideals of the join of permutable Lie algebras. J. London Math. Soc. (2)29, 63–66 (1984).

    Google Scholar 

  3. F. A. M. Aldosray, On subideals of the join of permutable Lie algebras. Arch. Math.43, 322–327 (1984).

    Google Scholar 

  4. R. K. Amayo, A construction for Lie algebras satisfying the maximal condition for subalgebras. Comp. Math.31, 31–46 (1975).

    Google Scholar 

  5. R. K.Amayo and I. N.Stewart, Infinite-dimensional Lie algebras. Leyden 1974.

  6. C.-Y. Chao andE. L. Stitzinger, Subinvariance in solvable Lie algebras. Canad. J. Math.28, 181–185 (1976).

    Google Scholar 

  7. M. Frank, A new simple Lie algebra of characteristic three. Proc. Amer. Math. Soc.38, 43–46 (1973).

    Google Scholar 

  8. B. Hartley, Locally nilpotent ideals of a Lie algebra. Proc. Cambridge Phil. Soc.63, 257–272 (1967).

    Google Scholar 

  9. M. Honda, Lie algebras in which the join of any set of subideals is a subideal. Hiroshima Math. J.13, 349–355 (1983).

    Google Scholar 

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

  11. F. Kubo, On an infinite-dimensional Lie algebra satisfying the maximal condition for subalgebras. Hiroshima Math. J.6, 485–487 (1976).

    Google Scholar 

  12. F. Kubo, On infinite-dimensional algebras satisfying the maximal condition for subalgebras. Hiroshima Math. J.7, 287–289 (1977).

    Google Scholar 

  13. J. C. Lennox, D. Segal andS. E. Stonehewer, The lower central series of a join of subnormal subgroups. Math. Z.154, 85–89 (1977).

    Google Scholar 

  14. J. E. Roseblade andS. E. Stonehewer, Subjunctive and locally coalescent classes. J. Algebra8, 423–435 (1968).

    Google Scholar 

  15. H. Smith, On certain subgroups of a join of subnormal subgroups. Glasgow Math. J.25, 103–105 (1984).

    Google Scholar 

  16. I. N. Stewart, Finitely presented infinite-dimensional simple Lie algebras. Arch. Math.26, 504–507 (1975).

    Google Scholar 

  17. I. N. Stewart, Subideals and serial subalgebras of Lie algebras. Hiroshima Math. J.11, 493–498 (1981).

    Google Scholar 

  18. J. P.Williams, Subnormal subgroups and subideals of Lie algebras. Ph. D. Thesis, Cambridge 1982.

  19. H.Zassenhaus, The Theory of Groups. 2nd ed. New York 1958.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aldosray, F.A.M., Stewart, I. Joins of ideals of subideals of Lie algebras. Arch. Math 47, 222–228 (1986). https://doi.org/10.1007/BF01191997

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01191997

Navigation