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arXiv · 2610.15731

Lie Algebras of Locally Finite Derivations over Fields of Positive Characteristic

Oksana Bezushchak·Anatoliy Petravchuk
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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 $End_{F}\, A$ generated by these derivations is finite-dimensional.

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Oksana Bezushchak, Anatoliy Petravchuk. 2026-10-11. Lie Algebras of Locally Finite Derivations over Fields of Positive Characteristic. https://arxiv.org/abs/2610.15731

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