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On differential polynomial rings over locally nilpotent rings (1708.02080v1)
Published 7 Aug 2017 in math.RA
Abstract: Let $\delta$ be a derivation of a locally nilpotent ring $R$. Then the differential polynomial ring $R[X; \delta]$ cannot be mapped onto a ring with a non-zero idempotent. This answers a recent question by Greenfeld, Smoktunowicz and Ziembowski.
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