A Frattini Theory for Leibniz Algebras

Abstract

A Frattini theory for non-associative algebras was developed in [13 Towers , D. ( 1973 ). A Frattini theory for algebras . Proc. London Math. Soc. 27 : 440 – 462 .[Crossref], [Web of Science ®] , [Google Scholar]] and results for particular classes of algebras have appeared in various articles. Especially plentiful are results on Lie algebras. It is the purpose of this paper to extend some of the Lie algebra results to Leibniz algebras.