Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Peirce gradings of Jordan systems
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by José A. Anquela and Teresa Cortés
Proc. Amer. Math. Soc. 130 (2002), 2543-2551
DOI: https://doi.org/10.1090/S0002-9939-02-06346-3
Published electronically: March 12, 2002

Abstract:

In this paper we prove that the diagonal components $V_0$ and $V_2$ of a Peirce grading of a Jordan pair or triple system $V$, inherit strong primeness, primitivity and simplicity from $V$.
References
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Bibliographic Information
  • José A. Anquela
  • Affiliation: Departamento de Matemáticas, Universidad de Oviedo, C/ Calvo Sotelo s/n, 33007 Oviedo, Spain
  • Email: anque@pinon.ccu.uniovi.es
  • Teresa Cortés
  • Affiliation: Departamento de Matemáticas, Universidad de Oviedo, C/ Calvo Sotelo s/n, 33007 Oviedo, Spain
  • Email: cortes@pinon.ccu.uniovi.es
  • Received by editor(s): June 16, 2000
  • Received by editor(s) in revised form: April 16, 2001
  • Published electronically: March 12, 2002
  • Additional Notes: This work was partially supported by the DGES, PB97-1069-C02-02 and the Ministerio de Ciencia y Tecnología, BFM2001-1938-C02-02

  • Dedicated: Dedicated to the memory of Eulalia García Rus
  • Communicated by: Lance W. Small
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 130 (2002), 2543-2551
  • MSC (2000): Primary 17C27, 17C10, 17C20
  • DOI: https://doi.org/10.1090/S0002-9939-02-06346-3
  • MathSciNet review: 1900860