Tsiu-Kwen Lee

activity

20242026

collaborators

5 papers

math.RA2026

On the structural behavior of images of polynomials

Tsiu-Kwen Lee, Tran Nam Son

The study of images of noncommutative polynomials on algebras has attracted considerable attention. We investigate polynomial images and the additive structures they generate in as…

math.RA2025

Lie ideals and derivations of exceptional prime rings

Tsiu-Kwen Lee

A prime ring $R$ with extended centroid $C$ is said to be exceptional if both $char R = 2$ and $dim_{C} R C = 4$ . Herstein characterized additive subgroups $A$ of a nonexcepti…

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.RA2025

Commutators and products of Lie ideals of prime rings

Tsiu-Kwen Lee, Jheng-Huei Lin

Motivated by some recent results on Lie ideals, it is proved that if $L$ is a Lie ideal of a simple ring $R$ with center $Z (R)$ , then $L \subseteq Z (R)$ , $L = Z (R) a + Z (R)$ for some non…

math.RA2024

Prime rings having nontrivial centralizers of (skew) traces of Lie ideals

Tsiu-Kwen Lee, Jheng-Huei Lin

Let $R$ be a prime ring with center $Z (R)$ and with involution $*$ . Given an additive subgroup $A$ of $R$ , let $T (A) := {x + x^{*} ∣ x \in A}$ and $K_{0} (A) := {x - x^{*} ∣ x \in A}$ . Let…