Pham Duy Vinh

collaborators

2 papers

math.RA2026

A nonlinear analogue of additive commutators

Truong Huu Dung, Tran Nam Son, Pham Duy Vinh

We study a nonlinear analogue of additive commutators, known as \textit{polynomial commutators}, defined by $p (ab) - p (ba)$ for a polynomial $p \in F [x]$ and elements $a, b$ in an…

math.RA2025

A note on additive commutator groups in certain algebras

Nguyen Thi Thai Ha, Tran Nam Son, Pham Duy Vinh

We study whether a unital associative algebra $A$ over a field admits a decomposition of the form $A = Z (A) + [A, A]$ where $Z (A)$ is the center of $A$ and $[A, A]$ denotes t…