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On differential polynomial rings with locally nilpotent derivations (2305.19464v2)
Published 31 May 2023 in math.RA
Abstract: Let $R$ be a $\mathbb{Q}$-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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