Hau-Yuan Jang

collaborators

3 papers

math.RA2026

A Reduced-Trace-Zero Element That Is Not a Commutator in a Central Division Algebra

Hau-Yuan Jang

We exhibit a finite-dimensional central division algebra, of degree four over its center, together with an explicit element of reduced trace zero that is not a single commutator. T…

math.RA2025

Products of commutators in simple algebras

Matej BreÅ¡ar, Hau-Yuan Jang, Leonel Robert

Let $A$ be a finite-dimensional simple algebra that is not a field. We show that every $a \in A$ can be written as $a = (b c - c b) (d e - e d)$ for some $b, c, d, e \in A$ . This is not always tru…

math.RA2025

Commutator products in skew Laurent series division rings

Hau-Yuan Jang, Wen-Fong Ke

In 1965, Baxter established that a simple ring is either a field or that every one of its elements can be expressed as a sum of products of commutator pairs. In a recent paper, Gar…