English

$n$-dervations of Lie color algebras

Rings and Algebras 2020-05-26 v2

Abstract

The aim of this article is to discuss the nn-derivation algebras of Lie color algebras. It is proved that, if the base ring contains 1n1\frac{1}{n-1}, LL is a perfect Lie color algebra with zero center, then every triple derivation of LL is a derivation, and every nn-derivation of the derivation algebra nDer(L))nDer(L)) is an inner derivation.

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Cite

@article{arxiv.1903.05827,
  title  = {$n$-dervations of Lie color algebras},
  author = {Yizheng Li and Shuangjian Guo},
  journal= {arXiv preprint arXiv:1903.05827},
  year   = {2020}
}

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11pages