Jheng-Huei Lin

most citedCertain functional identities on division rings

2 citations · 2 across the 3 of their papers we have counts for

collaborators

4 papers

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.RA2024

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

Certain functional identities on division rings of characteristic two

Münevver Pınar Eroğlu, Tsiu-Kwen Lee, Jheng-Huei Lin

Let $D$ be a noncommutative division ring. In a recent paper, Lee and Lin proved that if $char D \neq = 2$ , the only solution of additive maps $f, g$ on $D$ satisfying the ide…

math.RA2024★ 2 cited

Certain functional identities on division rings

Tsiu-Kwen Lee, Jheng-Huei Lin

We study the functional identity $G (x) f (x) = H (x)$ on a division ring $D$ , where $f : D \to D$ is an additive map and $G (X) \neq = 0, H (X)$ are generalized polynomials in the variabl…