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Abstract
We prove that there are no simple commutative n-ary Leibniz algebras of arbitrary dimension over fields of characteristic zero or greater than n. This result extends previous work of Pojidaev and Elduque.
ACKNOWLEDGMENTS
The authors would like to thank Spanish Ministerio de Educación y Ciencia and FEDER MTM 2007-67884-C04-03 and the University of La Rioja. Sara Madariaga also thanks support from Spanish MICINN grant AP2007-01986 and ATUR 09/22.
Notes
Communicated by A. Elduque.