5 citations · 5 across the 4 of their papers we have counts for
4 papers
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…
C-Supplemented Subalgebras of Lie Algebras
David A. Towers
A subalgebra of a Lie algebra is {\em c-supplemented} in if there is a subalgebra of with and , where is the core of in…
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…