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…