Inner ideals of Lie algebras of skew elements of prime rings with involution
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- by Jose Brox, Antonio Fernández López and Miguel Gómez Lozano PDF
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Abstract:
In this note we extend the Lie inner ideal structure of simple Artinian rings with involution, initiated by Benkart and completed by Benkart and Fernández López, to centrally closed prime rings with involution of characteristic not $2$, $3$ or $5$. New Lie inner ideals (which we call special) occur when making this extension. We also give a purely algebraic description of the so-called Clifford inner ideals, which had only been described in geometric terms.References
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Additional Information
- Jose Brox
- Affiliation: Departamento de álgebra, Geometría y Topología, Universidad de Málaga, 29071, Málaga, Spain
- Email: brox@agt.cie.uma.es
- Antonio Fernández López
- Affiliation: Departamento de álgebra, Geometría y Topología, Universidad de Málaga, 29071, Málaga, Spain
- MR Author ID: 66255
- Email: emalfer@uma.es
- Miguel Gómez Lozano
- Affiliation: Departamento de álgebra, Geometría y Topología, Universidad de Málaga, 29071, Málaga, Spain
- MR Author ID: 619689
- Email: magomez@agt.cie.uma.es
- Received by editor(s): April 23, 2014
- Published electronically: March 22, 2016
- Additional Notes: The first author was supported by the Spanish MEC through the FPU grant AP2009-4848, and by the Junta de Andalucía FQM264.
The second author was supported by the Spanish MEC and Fondos FEDER, MTM2010-19482.
The third author was supported by the Spanish MEC and Fondos FEDER, MTM2010-19482, and by the Junta de Andalucía FQM264. - Communicated by: Kailash C. Misra
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 2741-2751
- MSC (2010): Primary 17B60; Secondary 16W10, 17C50
- DOI: https://doi.org/10.1090/proc/12903
- MathSciNet review: 3487211
Dedicated: Dedicated to Professor W. S. Martindale, 3rd.