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…