On the Wedderburn principal theorem in conformal algebras
arXiv:math/0508105
Abstract
We investigate an analogue of the Wedderburn principal theorem for associative conformal algebras with finite faithful representations. It is shown that the radical splitting property for an algebra of this kind holds if the maximal semisimple factor of this algebra is unital, but does not hold in general.
v2: slightly revised; 14 pages; to appear in J. Algebra and Its Applications