D. Towers

collaborators

4 papers

math.RA2025

The solvable Graph of a finite-dimensional Lie Algebra

David Towers, Ismael Gutierrez, Luis Fernandez

We introduce and investigate the solvable graph $I^_{S} (L)$ of a finite-dimensional Lie algebra $L$ over a field $F$ . The vertices are the elements outside the solvabilize…

math.RA2025

The nilpotent graph of a finite0-dimensional Lie algebra

David Towers, Ismael Gutierrez, Luis Fernandez

Let $L$ be a finite-dimensional Lie algebra over a field $F$ . In This paper we introduce the \emph{nilpotent graph} $I^_{N} (L)$ as the graph whose vertices are the element…

math.RA2024

Leibniz algebras with an abelian subalgebra of codimension tw0

A. Fernandez Ouaridi, D. A. Towers

A characterization of the finite-dimensional Leibniz algebras with an abelian subalgebra of codimension two over a field $F$ of characteristic $p \neq = 2$ is given. In short,…

math.RA2024

Abelian Subalgebras and Ideals of Maximal Dimension in Poisson algebras

Amir FernÃ¡ndez Ouaridi, Rosa MarÃa Navarro, David A. Towers

This paper studies the abelian subalgebras and ideals of maximal dimension of Poisson algebras $P$ of dimension $n$ . We introduce the invariants $I^\pm$ and $I^^{2}$ for Poisson…