arXiv math/05081052005-08math.RAmath.QA

On the Wedderburn principal theorem in conformal algebras

Pavel Kolesnikov

备注：: v2: slightly revised; 14 pages; to appear in J. Algebra and Its Applications
发表信息：: Journal of Algebra and Its Applications, 2007, V.6, no.1, P.119--134.

英文摘要：

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.

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