Strongly Prime Algebraic Lie PI-algebras
In a recent paper by the author and
Artem Golubkov, it was proved that a strongly prime Lie
PI-algebra with an algebraic adjoint representation over an
algebraically closed field of characteristic 0 is simple and
finite dimensional. In this note we derive this result from a more
general one on strongly prime Lie PI-algebras with abelian minimal
inner ideals, which is closely related to the intrinsic
characterization of simple finitary Lie algebras with abelian
minimal inner ideals.
(This paper has appeared in Comm. Algebra 45 (4)(2017), 1577-1583.)
A. Fernández López < emalfer@uma.es >