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Peirce gradings of Jordan systems
Author(s):
José
A.
Anquela;
Teresa
Cortés
Journal:
Proc. Amer. Math. Soc.
130
(2002),
2543-2551.
MSC (2000):
Primary 17C27, 17C10, 17C20
Posted:
March 12, 2002
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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  .
References:
-
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- 3.
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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:
10.1090/S0002-9939-02-06346-3
PII:
S 0002-9939(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
Posted:
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 Garc{í}a Rus
Communicated by:
Lance W. Small
Copyright of article:
Copyright
2002,
American Mathematical Society
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