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arXiv · 2305.19464

On differential polynomial rings with locally nilpotent derivations

Jooyoung Shin
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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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Jooyoung Shin. 2023-12-15. On differential polynomial rings with locally nilpotent derivations. https://arxiv.org/abs/2305.19464

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