- International Electronic Journal of Algebra
- Volume:25 Issue:25
- FRATTINI PROPERTIES AND NILPOTENCY IN LEIBNIZ ALGEBRAS
FRATTINI PROPERTIES AND NILPOTENCY IN LEIBNIZ ALGEBRAS
Authors : Allison MCALİSTER, Kristen Stagg ROVİRA, Ernie STİTZİNGER
Pages : 64-76
Doi:10.24330/ieja.504114
View : 12 | Download : 11
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