Kaijia Luo

collaborators

3 papers

math.RA2026

Certain functional identities on matrix rings

Kaijia Luo, Jiankui Li

Let $D$ be a noncommutative division ring and let $R = M_{m} (D)$ with $m > 1$ . We characterize additive mappings $f,$ $g : R \to R$ satisfying the identity $f(X) = X^{n}g(X^{-…

math.FA2024

Functional identities involving inverses on Banach algebras

Kaijia Luo, Jiankui Li

The purpose of this paper is to characterize several classes of functional identities involving inverses with related mappings from a unital Banach algebra $A$ over the c…

math.RA2024

Zero product and zero Jordan product determined Munn algebras

Bo Yu, Kaijia Luo, Jiankui Li

Let $M (D, m, n, P)$ be the ring of all $m \times n$ matrices over a division ring $D$ , with the product given by $A ∙ B = A P B$ , where $P$ is a fi…