Higher-power inverse functional identities and Frobenius collision obstructions

Mohsen Aliabadi

Let $D$ be a division ring, let $n\ge 2$, and let $f,g:D\to D$ be additive maps satisfying $f(x)x^{-1}+x^{n}g(x^{-1})=0$ for all $x\in D^{\times }$. We establish general vanishing cri…