FRATTINI PROPERTIES AND NILPOTENCY IN LEIBNIZ ALGEBRAS

Authors : Allison MCALİSTER, Kristen Stagg ROVİRA, Ernie STİTZİNGER

Pages : 64-76

Doi:10.24330/ieja.504114

View : 13 | Download : 12

Publication Date : 2019-01-08

Article Type : Research Paper

Abstract :Ideals that share properties with the Frattini ideal of a Leibniz algebra are studied. Similar investigations have been considered in group the- ory. The results will hold for Lie algebras as well. Many of the results involve nilpotency of these algebras.
Keywords : Frattini ideal, Cartan subalgebra, primitive ideal, non generator