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Further results on elementary Lie algebras and Lie A-algebras
David A. Towers, Vicente R. Varea
A finite-dimensional Lie algebra over a field of characteristic zero is called elementary if each of its subalgebras has trivial Frattini ideal; it is an -algebra if eve…
C-Ideals of Lie Algebras
David A. Towers
A subalgebra B of a Lie algebra L is called a c-ideal of L if there is an ideal C of L such that L = B + C and B \cap C \leq B_L, where B_L is the largest ideal of contained in…
On Semi-Modular Subalgebras of Lie Algebras Over Fields of Arbitrary Characteristic
David A. Towers
This paper is a further contribution to the extensive study by a number of authors of the subalgebra lattice of a Lie algebra. It is shown that, in certain circumstances, including…
Two Generator Subalgebras of Lie Algebras
Kevin Bowman, David A. Towers, Vicente R. Varea
J. G. Thompson showed that a finite group G is solvable if and only if every two -generated subgroup is solvable. Recently, Grunevald, Kunyavskii, Nikolova, and Plotkin have shown…