3 papers
math.RA2026
The comaximal graph of a finite-dimensional Lie algebra
David A. Towers, Yesneri Zuleta, Ismael Gutierrez
In this paper, we introduce the comaximal graph of a finite-dimensional Lie algebra , whose vertices are the nontrivial proper Lie subalgebras of over a field $\math…
math.RA2025
Nilpotency, Solvability and Frattini Theory for Poisson algebras
David A. Towers
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 radi…
math.RA2024
Some results on Nilpotency, Solvability and Frattini Theory for Bicommutative, Assosymmetric and Novikov algebras
David A. Towers
This paper starts by showing that for algebras in a certain class the concepts of weak nilpotency and nilpotency coincide. It goes on to describe some solvability and nilpotency pr…