Abstract
This paper studies local properties of Jacobson-Witt algebras over fields of prime characteristic, i.e., initiates the study on 2-local derivations of Lie algebras of prime characteristic. Let Wn be a simple Jacobson-Witt algebra over a field F of prime characteristic p with |F|≥pn. In this paper, it is shown that every 2-local derivation on Wn is a derivation.
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