On differential polynomial rings over locally nilpotent rings |
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Authors: | Mikhail Chebotar |
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Institution: | 1.Department of Mathematical Sciences,Kent State University,Kent,USA |
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Abstract: | Let δ be a derivation of a locally nilpotent ring R. Then the differential polynomial ring RX; δ] 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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