Frattini Properties and Nilpotency in Leibniz Algebras

2015/06/16 by McAlister, Allison, Rovira, Kristen Stagg, Stitzinger, Ernie
#17A32 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1506.04996

Abstract

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 new for Lie algebras. Many of the results involve nilpotency of these algebras.

Related

• A Frattini Theory for Leibniz Algebras
• Nilpotent Lie and Leibniz algebras
• More on the Frattini Subalgebra of a Leibniz Algebra
• Frattinian nilpotent Lie algebras
• Leibniz algebras whose solvable ideal is the maximal extension of the nilradical