2Local Superderivations on Basic Classical Lie Superalgebras 
Received:October 26, 2016 Revised:May 19, 2017 
Key Word:
basic classical Lie superalgebras 2local superderivation superderivation

Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11471090). 

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Abstract: 
Let $\mathbb{F}$ be an algebraically closed field of characteristic zero, and $L$ be a basic classical Lie superalgebra except $A(n,n)$ over $\mathbb{F}$. In this paper, we prove that every 2local superderivation on $L$ is a superderivation. Furthermore, we give an example to show that a subalgebra of $\mathrm{spl}(2,2)$ admits a 2local superderivation which is not a superderivation. 
Citation: 
DOI:10.3770/j.issn:20952651.2017.05.003 
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