On the Wedderburn principal theorem in conformal algebras

Mathematics – Rings and Algebras

Scientific paper

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v2: slightly revised; 14 pages; to appear in J. Algebra and Its Applications

Scientific paper

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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