Resumen de Prime nondegenerate Jordan algebras with nonzero socle and the symmetric Martindale algebra of quotients
In this note we compute the symmetric Martindale algebra of quotients of a prime associative algebra with nonzero socle. Then we use this result to get, via Zelmanov’s theorem for prime nondegenerate Jordan algebras, a shorter proof of the structure theorem of Osborn and Racinte for prime Jordan algebras with nonzero socle.
