Volume no :8, Issue no: 1-2, September and December (2012)

Journal of Algebra, Number Theory: Advances and Applications

A NOTE ON LEVI-MALCEV THEOREM FOR HOMOGENEOUS BOL ALGEBRAS

Author's: N. NDOUNE and THOMAS B. BOUETOU
Pages: [1] - [18]
Received Date: January 3, 2012
Submitted by:

Abstract

Bol algebras are a broad generalization of Lie algebras that include Lie, Malcev algebras, and Lie triple systems as very particular examples. We present the concept of solvable ideals, nilpotent ideals in the category of Bol algebras, the existence of radical and nilradical is proven. The Levi-Malcev theorem is established for homogeneous Bol algebras.

Keywords

Bol algebras, homogeneous Bol algebras, radical, nilradical, Killing-Ricci form.