David A. Towers

collaborators

3 papers

math.RA2026

Comaximal Graphs of finite-dimensional Lie algebras over finite fields: Triangle counts and structural invariants

David Towers, Yesneri Zuleta, Ismael Gutierrez

Let $L$ be a finite-dimensional Lie algebra over a field $F$ . The comaximal graph $Γ (L)$ has as vertices the proper nonzero subalgebras of $L$ , two of them adjacent whenever they g…

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 $Γ (L)$ of a finite-dimensional Lie algebra $L$ , whose vertices are the nontrivial proper Lie subalgebras of $L$ over a field $\mathb…

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…