Hannes Thiel

collaborators

Showing math.RAShow all

2 papers · 1 filter

math.RA2025

Fully noncentral Lie ideals and invariant additive subgroups in rings

Eusebio Gardella, Tsiu-Kwen Lee, Hannes Thiel

We prove conditions ensuring that a Lie ideal or an invariant additive subgroup in a ring contains all additive commutators. A crucial assumption is that the subgroup is fully nonc…

math.RA2024

Products of commutators in matrix rings

Matej BreÅ¡ar, Eusebio Gardella, Hannes Thiel

Let $R$ be a ring and let $n \geq 2$ . We discuss the question of whether every element in the matrix ring $M_{n} (R)$ is a product of (additive) commutators $[x, y] = x y - y x$ , for $x,y\in M…