| Leibniz algebras were introduced by Jean Loday in 1993 as a noncommutative generalization of Lie algebras. The theory of Leibniz algebras has been studied for twenty-one years, and during this time many results from the theory of Lie algebras have been extended. In the present work, we make contributions to the theory of Complemented Algebras and introduce Leibniz algebra generalizations, which have Lie and Group theory counterparts. |
