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derivations 1differential algebra 1exponential map 1formal power series 1holonomic series 1smooth germs 1

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math.AC2026

When does a derivation of a ring admit the exponential?

Genrich Belitskii, Alberto F. Boix, Dmitry Kerner

The paper investigates when the exponential of an x‑adically nilpotent derivation defines a formal automorphism that preserves various subrings of formal power series, providing cr…