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Communications in Algebra Volume 43, 2015 - Issue 2
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Original Articles

Martindale Algebras of Quotients of Graded Algebras

H. Bierwirth Departamento de Álgebra, Geometría y Topología, Universidad de Málaga, Málaga, Spain
,
C. Martín González Departamento de Álgebra, Geometría y Topología, Universidad de Málaga, Málaga, Spain
,
J. Sánchez Ortega Department of Mathematics and Statistics, York University, North York, Ontario, Canada
&
M. Siles Molina Departamento de Álgebra, Geometría y Topología, Universidad de Málaga, Málaga, SpainCorrespondence[email protected]
Pages 829-846 | Received 12 Sep 2013, Published online: 22 Oct 2014
 
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Abstract

The motivation for this paper is the study of the relation between the zero component of the maximal graded algebra of quotients and the maximal graded algebra of quotients of the zero component, both in the Lie case and when considering Martindale algebras of quotients in the associative setting. We apply our results to prove that the finitary complex Lie algebras are (graded) strongly nondegenerate and compute their maximal algebras of quotients.

2010 Mathematics Subject Classification:

Notes

Communicated by M. Bresar.

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