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arXiv · 2504.20638

Nilpotency, Solvability and Frattini Theory for Poisson algebras

David A. Towers
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Abstract

This paper shows that a Poisson algebra is nilpotent if and only if it is both associative and Lie nilpotent and examines various properties of the nilradical and the solvable radical. It introduces a basic Frattini theory for dialgebras and then investigates a more detailed theory for Poisoon algebras.

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David A. Towers. 2025-04-29. Nilpotency, Solvability and Frattini Theory for Poisson algebras. https://arxiv.org/abs/2504.20638

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