On differential polynomial rings over locally nilpotent rings

2017/08/07 by Chebotar, Mikhail
#16N40 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1708.02080

Abstract

Let δ be a derivation of a locally nilpotent ring R. Then the differential polynomial ring R[X; 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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