Supersolvable Leibniz Algebras.

摘要

Malcev algebras and Leibniz algebras are generalizations of Lie algebras. Classical theorems in Lie algebra have found extensions toMalcev algebras. It is the purpose of this work to extend some of the Lie andMalcev algebra results, particularly supersolvable results, to Leibniz algebras. In particular, results about lower semi-modular algebras, supersolvable projectors, theta-pairs, two-recognizeable properties, and triangulable properties will be discussed.