Alina Petrescu-Nita

Automorphisms of the $k$-algebra $k[X_1,...,X_m]$

For a field $k$ of characteristic $0$, we present an algorithm for deciding if a morphism $ϕ:k[X_1,...,X_m]\to k[X_1,...,X_m]$ has an inverse. The algorithm also shows how to find the inverse when it exists.