A new formulation of the Jacobian conjecture in characteristic \(p\) (Q2833651)

The Jacobian Conjecture is not true for fields of characteristic \(p>0\) (e.g. \(f(x)=x-x^{p}\) in one-dimensional case). The authors propose another formulation of the Jacobian Conjecture in characteristic \(p.\) They introduce the notion of a \textit{strong Keller map} \(F\) which satisfies ``stronger'' conditions than the usual one \(\text{Jac }F=1.\) In characteristic zero ``strong Keller map \(\equiv \) Keller map''. Then new formulation is: if \(F\) is a strong Keller map then \(F\) is invertible.