Lie Algebras of Locally Finite Derivations over Fields of Positive Characteristic
Oksana Bezushchak, Anatoliy Petravchuk
Abstract
Let F be a field of positive characteristic, and let A be a finitely generated commutative associative F-algebra. We study Lie subalgebras of Der \, A generated by locally finite derivations. We prove that if all commutators of the generators satisfy a natural local finiteness condition, then the associative subalgebra of EndF\, A generated by these derivations is finite-dimensional.
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