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arXiv · 1710.08022

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

Alina Petrescu-Nita·Mihai D. Staic
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Abstract

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.

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Alina Petrescu-Nita, Mihai D. Staic. 2017-10-22. Automorphisms of the $k$-algebra $k[X_1,...,X_m]$. https://arxiv.org/abs/1710.08022

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