Journal of Hebei University(Natural Science Edition) >

2016 , Vol. 36 >Issue 1: 7 - 10

DOI: https://doi.org/10.3969/j.issn.1000-1565.2016.01.002

T-derivations of perfect 3-Lie algebras

  • BAI Ruipu ,
  • GAO Yansha ,
  • ZHANG Yinghua
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  • College of Mathematics and Information Science, Hebei University, Baoding 071002, China

Received date: 2015-09-13

  Online published: 2016-01-25

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Abstract

The T-derivations of 3-Lie algebras,T-derivation Lie algebra TDer(L),and its structure were studied.The relations between TDer(L)and Der(L),ad(L)were discussed.It is proved that the inner derivation algebra ad(L)is an ideal of TDer(L).If L is a perfect 3-Lie algebra over a field F with Char F≠5,centralizers of derivation algebra and inner derivation algebra in TDer(L)are both zero.

Key words： 3- Lie algebra; T-derivation; derivation; inner derivation

Cite this article

BAI Ruipu , GAO Yansha , ZHANG Yinghua . T-derivations of perfect 3-Lie algebras[J]. Journal of Hebei University(Natural Science Edition), 2016 , 36(1) : 7 -10 . DOI: 10.3969/j.issn.1000-1565.2016.01.002

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