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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Lie derivations of $ \mathcal J$-subspace lattice algebras


Author: Fangyan Lu
Journal: Proc. Amer. Math. Soc. 135 (2007), 2581-2590
MSC (2000): Primary 47L35; Secondary 17B40, 17B60
Published electronically: February 6, 2007
MathSciNet review: 2302579
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Abstract: We describe the structure of Lie derivations of $ \mathcal J$-subspace lattice algebras. The results can apply to atomic Boolean subspace lattice algebras and pentagon subspace lattice algebras, respectively.


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Additional Information

Fangyan Lu
Affiliation: Department of Mathematics, Suzhou University, Suzhou 215006, People’s Republic of China
Email: fylu@suda.edu.cn

DOI: http://dx.doi.org/10.1090/S0002-9939-07-08767-9
PII: S 0002-9939(07)08767-9
Keywords: Lie derivations, $\mathcal J$-subspace lattice algebras, finite rank operators
Received by editor(s): October 14, 2005
Received by editor(s) in revised form: April 25, 2006
Published electronically: February 6, 2007
Additional Notes: The author was supported by NNSFC (No. 10571054) and a grant (No. 04KJB110116) from the government of Jiangsu Province of China.
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.