4 papers
Minimal nonnilpotent Leibniz algebras
Lindsey Bosko-Dunbar, Jonathan Dunbar, J. T. Hird +1
We classify all nonnilpotent, solvable Leibniz algebras with the property that all proper subalgebras are nilpotent. This generalizes the work of Stitzinger and Towers in Lie algeb…
Frattini Properties and Nilpotency in Leibniz Algebras
Allison McAlister, Kristen Stagg Rovira, Ernie Stitzinger
Ideals that share properties with the Frattini ideal of a Leibniz algebra are studied. Similar investigations have been considered in group theory. However most of the results are…
Solvable Leibniz Algebras with Abelian Nilradicals
Lindsey Bosko-Dunbar, Matthew Burke, Jonathan D. Dunbar +2
We extend the classification of solvable Lie algebras with abelian nilradicals to classify solvable Leibniz algebras which are one dimensional extensions of an abelian nilradicals.
Solvable Leibniz algebras with triangular nilradical
Lindsey Bosko-Dunbar, Matthew Burke, Jonathan Dunbar +2
A classification exists for Lie algebras whose nilradical is the triangular Lie algebra . We extend this result to a classification of all solvable Leibniz algebras with nilr…