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arxiv: 1710.08022 · v1 · pith:PP4TF7IRnew · submitted 2017-10-22 · 🧮 math.RA

Automorphisms of the k-algebra k[X₁,...,X_m]

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

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