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n-dervations of Lie color algebras

2019/03/14 by Li, Yizheng, Guo, Shuangjian
#17B05 #17B40 #17B60 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1903.05827

Abstract

The aim of this article is to discuss the n-derivation algebras of Lie color algebras. It is proved that, if the base ring contains (1)/(n-1), L is a perfect Lie color algebra with zero center, then every triple derivation of L is a derivation, and every n-derivation of the derivation algebra nDer(L)) is an inner derivation.

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