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math.RA2009
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…
math.RA2009
Solvable Lie A-algebras
David A. Towers
A finite-dimensional Lie algebra over a field is called an -algebra if all of its nilpotent subalgebras are abelian. This is analogous to the concept of an -group: a…