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On the socle of a Jordan pair

  • Autores: Ottmar Loos Árbol académico
  • 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
  • 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.

  • Referencias bibliográficas
    • P. N. Anh, Simple Jordan algebras with minimal inner ideals, Comm. in Algebra 14 (3) (1986), 489–492.
    • A. Fernández López and E. García Rus, A characterization of the elements of the socle of a Jordan algebra, Proc. Amer. Math. Soc., 108 (1990),...
    • A. Fernández López and E. García Rus, An elementary characterization of the socle of a Jordan triple system, Preprint.
    • A. Fernández López, E. García Rus and E. Sánchez Campos, Von Neumann regular Jordan Banach triple systems, J. London Math. Soc., to appear.
    • N. Jacobson, Structure of Rings, American Mathematical Society Colloquium Publications Vol. 37, American Mathematical Society, Providence,...
    • N. Jacobson, Structure Theory of Jordan Algebras, The University of Arkansas Lecture Notes in Mathematics Vol. 5, University of Arkansas,...
    • O. Loos, Jordan Pairs, Lecture Notes in Mathematics Vol. 460, Springer, Berlin-Heidelberg-New York, 1975.
    • O. Loos, Finiteness conditions in Jordan pairs, Math. Z., to appear.
    • K. McCrimmon, Peirce ideals in Jordan triple systems, Pacific J. Math. 83 (1979), 415–439.
    • K. McCrimmon, Compatible Peirce decompositions of Jordan triple systems, Pacific J. Math. 103 (1982), 57–102.
    • J. M. Osborn and M. L. Racine, Jordan rings with nonzero socle, Trans. Amer. Math. Soc. 251 (1979), 375–387.
    • H. P. Petersson, Conjugacy of idempotents in Jordan pairs, Comm. in Algebra 6 (7) (1978), 673–715.

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