On the socle of a Jordan pair

• Autores: Ottmar Loos
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 40, Fasc. 2, 1989, págs. 109-125
• Idioma: inglés
• Títulos paralelos:
  • Sobre el soporte de un par de Jordán
• Enlaces
  • Texto completo
• Resumen

  • The socle of a nondegenerate Jordan pair, defined as the sum of all minimal inner ideals, is shown to have dcc on principal inner ideals. Furthermore, the socle is the direct sum of simple ideals, and can be represented as a direct limit of subpairs of tinite capacity imbedded as inner ideals.