4 citations · 7 across the 5 of their papers we have counts for
5 papers
Cyclic Leibniz Algebras
Kristin Bugg, Allison Hedges, Minji Lee +2
Leibniz algebras generated by one element, called cyclic, provide simple and illuminating examples of many basic concepts. It is the purpose of this paper to illustrate this fact.
Classifying Several Classes of Leibniz Algebras
Chelsie Batten Ray, Allison Hedges, Ernest Stitzinger
We extend results related to maximal subalgebras and ideals from Lie to Leibniz algebras. In particular, we classify minimal non-elementary Leibniz algebras and Leibniz algebras wi…
Nilpotent Lie and Leibniz algebras
Chelsie Batten Ray, Alexander Combs, Nicole Gin +3
We extend results on finite dimensional nilpotent Lie algebras to Leibniz algebras and counterexamples to others are found. One generator algebras are used in these examples and ar…
More on the Frattini Subalgebra of a Leibniz Algebra
Allison Hedges, Ernest Stitzinger
We study the Frattini subalgebra of Leibniz algebras generated by one element. We also investigate Leibniz algebras all of whose proper subalgebras are elementary.
A Frattini Theory for Leibniz Algebras
Chelsie Batten, Lindsey Bosko-Dunbar, Allison Hedges +3
A Frattini theory for non-associative algebras was developed by Towers and results for particular classes of algebras have appeared in various articles. Especially plentiful are re…