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Inner ideal structure of nearly Artinian Lie algebras
Author(s):
Antonio
Fernández
López;
Esther
García;
Miguel
Gómez
Lozano
Journal:
Proc. Amer. Math. Soc.
137
(2009),
1-9.
MSC (2000):
Primary 17B05;
Secondary 17B60
Posted:
July 18, 2008
MathSciNet review:
2439417
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Abstract:
In this paper we study the inner ideal structure of nondegenerate Lie algebras with essential socle, and characterize, in terms of the whole algebra, conditions under which the socle is Artinian.
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Additional Information:
Antonio
Fernández
López
Affiliation:
Departamento de Álgebra, Geometría y Topología, Universidad de Málaga, 29071 Málaga, Spain
Email:
emalfer@agt.cie.uma.es
Esther
García
Affiliation:
Departamento de Matemática Aplicada, Universidad Rey Juan Carlos, 28933 Móstoles (Madrid), Spain
Email:
esther.garcia@urjc.es
Miguel
Gómez
Lozano
Affiliation:
Departamento de Álgebra, Geometría y Topología, Universidad de Málaga, 29071 Málaga, Spain
Email:
magomez@agt.cie.uma.es
DOI:
10.1090/S0002-9939-08-09607-X
PII:
S 0002-9939(08)09607-X
Keywords:
Artinian Lie algebras,
inner ideals,
socle,
complementation
Received by editor(s):
November 14, 2007
Posted:
July 18, 2008
Additional Notes:
The first author was partially supported by the MEC and Fondos FEDER, MTM2007-61978
The second author was partially supported by the MEC and Fondos FEDER, MTM2004-06580-C02-01 and MTM2007-62390, by the Plan de Investigación del Principado de Asturias FICYT-IB05-017, and by the Programa de Creación y Consolidación de Grupos de Investigación URCJ-CM-2006-CET-0585.
The third author was partially supported by the MEC and Fondos FEDER, MTM2007-61978, and by the Plan de Investigación del Principado de Asturias FICYT-IB05-017
Communicated by:
Gail R. Letzter
Copyright of article:
Copyright
2008,
American Mathematical Society
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