Abstract
It is proved that the tame automorphism group of a differential polynomial algebra k{x, y} over a field k of characteristic 0 in two variables x, y with m commuting derivations δ1, . . . , δm is a free product with amalgamation. An example of a wild automorphism of the algebra k{x, y} in the case of m ≥ 2 derivations is constructed.
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