Peirce gradings of Jordan systems
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- by José A. Anquela and Teresa Cortés PDF
- Proc. Amer. Math. Soc. 130 (2002), 2543-2551 Request permission
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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Additional 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
- 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
Dedicated: Dedicated to the memory of Eulalia García Rus