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Original Articles

Lie Algebras in which the Lattice formed by the Ideals is a Chain

Pages 93-108 | Received 01 Nov 1990, Published online: 27 Jun 2007

References

  • Barnes , D.W. and Newell , M.L. 1970 . Some theorems on saturated homomorphs of solvable Lie algebras . Math. Z , 115 : 179 – 187 .
  • Benito M.P. Varea V.R. The lattice of ideals of a nilpotent Lie algebra To appear
  • Jacobson , N. 1962 . “ Lie Algebras ” . In Wiley—Interscience New York
  • Jacobson , N. 1975 . “ Lectures in Abstract Algebras ” . Vol. II , New York : Springer—Verlag .
  • Jensen , C.U. 1966 . Arithmetical rings . Acta Math. Acad. Sci. Hungar , 17 : 115 – 123 .
  • Kolman , B. 1965 . Semi—modular Lie algebras . 1. Sci. Hiroshima Univ, Ser , 129 : 149 – 163 .
  • Marshall , E.J. 1967 . The Frattini subalgebra of a Lie algebra . London Math. Soc , 42 : 416 – 422 .
  • Stitzinger , E.J. 1970 . On the Frattini subalgebra of a Lie algebra . London Math. Soc , 2 ( 2 ) : 429 – 438 .
  • Towers , D.A. 1973 . A Frattini Theory for algebras . Proc. London Math. Soc , 27 ( 3 ) : 440 – 462 .

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