5 papers
Comaximal Graphs of finite-dimensional Lie algebras over finite fields: Triangle counts and structural invariants
David Towers, Yesneri Zuleta, Ismael Gutierrez
Let be a finite-dimensional Lie algebra over a field . The comaximal graph has as vertices the proper nonzero subalgebras of , two of them adjacent whenever they g…
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 $\mathb…
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…
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…
On certain decompositions of solvable Lie algebras
David A. Towers
The author has previously shown that solvable Lie A-algebras and complemented solvable Lie algebras decompose as a vector space direct sum of abelian subalgebras, and their ideals…