Prime nondegenerate Jordan algebras with nonzero socle and the symmetric Martindale algebra of quotients

• Autores: Antonio Fernández López
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 39, Fasc. 3, 1988, págs. 249-256
• Idioma: inglés
• Títulos paralelos:
  • Algebras primas no degeneradas de Jordan y álgebra de Martindale simétrica de cocientes
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• Resumen

  • 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.