Abstract
Let be the Witt algebra over an infinite field of prime characteristic p. In this paper, we discuss the properties of local derivations on , and prove that every local derivation on is a derivation. Moreover, it is shown that there exist some local derivations which are not derivations for the maximal subalgebra of .
Acknowledgements
The author would like to express his sincere gratitude to the referee for helpful suggestion and comments.
Disclosure statement
No potential conflict of interest was reported by the author(s).