On differential polynomial rings with locally nilpotent derivations

2023/05/31 by Shin, Jooyoung
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2305.19464

Abstract

Let R be a ℚ-algebra and d be a locally nilpotent derivation on R. We will show that the Jacobson radical of a differential polynomial ring R[x;d] equals I[x;d] where I is a nil ideal of R. This answers a question posed by Agata Smoktunowicz.

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