Nilpotency, Solvability and Frattini Theory for Poisson algebras
Rings and Algebras
2025-04-30 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.2504.20638,
title = {Nilpotency, Solvability and Frattini Theory for Poisson algebras},
author = {David A. Towers},
journal= {arXiv preprint arXiv:2504.20638},
year = {2025}
}