Abstract
In the present paper, we study 2-local derivations on the so-called infinite dimensional generalized Witt algebras. Firstly, we prove that every 2-local derivation on the generalized Witt algebra over the vector space is a derivation, where is a field of characteristic zero. Further we consider generalized Witt algebras of the form over the field , where I is an infinite index set and and prove that all 2-local derivations on are also derivations. Finally, we show that every 2-local derivation on the Borel subalgebra of is a derivation.
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