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Subideals and ascendant subalgebras of Lie algebras

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References

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

  2. C. W. Curtis, On Lie algebras of algebraic linear transformations. Pacific J. Math.6, 453–466 (1956).

    Google Scholar 

  3. B. Hartley andT. A. Peng, Subnormality, ascendancy, and the minimal condition. J. Algebra41, 58–78 (1976).

    Google Scholar 

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

  5. N. Kawamoto, Subideality and ascendancy in generalized solvable Lie algebras. Hiroshima Math. J.9, 701–716 (1979).

    Google Scholar 

  6. T. A. Peng, A criterion for subnormality. Arch. Math.26, 225–230 (1975).

    Google Scholar 

  7. T. A. Peng, A note on subnormality. Bull. Austral. Math. Soc.15, 59–64 (1976).

    Google Scholar 

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

    Google Scholar 

  9. I.N.Stewart, Lie algebras generated by finite dimensional ideals. London 1975.

  10. E. L. Stitzinger, Ascendancy in locally solvable, ideally finite Lie algebras. Hiroshima Math. J.11, 1–4 (1981).

    Google Scholar 

  11. S. Tôgô, Weakly ascendant subalgebras of Lie algebras. Hiroshima Math. J.10, 175–184 (1980).

    Google Scholar 

  12. S. Tôgô, M. Honda andT. Sakamoto, Ideally finite Lie algebras. Hiroshima Math. J.11, 299–315 (1981).

    Google Scholar 

  13. B. A. F. Wehrfritz, Wielandt's Subnormality Criterion and Linear groups. J. Algebra67, 491–503 (1980).

    Google Scholar 

  14. J.Whitehead, Contributions to the theory of subnormal and ascendant subgroups. Ph. D. Thesis Warwick 1975.

  15. J. Whitehead, On certain properties of subnormal subgroups. Canad. J. Math.30, 573–582 (1978).

    Google Scholar 

  16. H. Wielandt, Kriterien für Subnormalität in endlichen Gruppen. Math. Z.138, 199–203 (1974).

    Google Scholar 

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Aldosray, F.A.M. Subideals and ascendant subalgebras of Lie algebras. Arch. Math 42, 520–525 (1984). https://doi.org/10.1007/BF01194049

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  • DOI: https://doi.org/10.1007/BF01194049

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