Tsiu-Kwen Lee

collaborators

3 papers

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.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…

math.RA2021

On n-generalized commutators and Lie ideals of rings

Peter V. Danchev, Tsiu-Kwen Lee

Let R be an associative ring.In the paper we study n-generalized commutators of rings and prove that if R is a noncommutative prime ring and n > 2, then every nonzero n-generalized…