Inner ideal structure of nearly Artinian Lie algebras
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- by Antonio Fernández López, Esther García and Miguel Gómez Lozano PDF
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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.References
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Additional Information
- Antonio Fernández López
- Affiliation: Departamento de Álgebra, Geometría y Topología, Universidad de Málaga, 29071 Málaga, Spain
- MR Author ID: 66255
- 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
- Received by editor(s): November 14, 2007
- Published electronically: 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 2008 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 137 (2009), 1-9
- MSC (2000): Primary 17B05; Secondary 17B60
- DOI: https://doi.org/10.1090/S0002-9939-08-09607-X
- MathSciNet review: 2439417