Peirce gradings of Jordan systems
Authors:
José A. Anquela and Teresa Cortés
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
Published electronically:
March 12, 2002
MathSciNet review:
1900860
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: In this paper we prove that the diagonal components 
and 
of a Peirce grading of a Jordan pair or triple system 
, inherit strong primeness, primitivity and simplicity from 
.
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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
DOI:
https://doi.org/10.1090/S0002-9939-02-06346-3
Keywords:
Jordan system,
Peirce grading,
simple,
primitive,
strongly prime
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
Article copyright:
© Copyright 2002
American Mathematical Society
