非单位工作时间延长

Pub Date : 2022-06-10 DOI:10.4064/cm8941-11-2022

Patrik Lundstrom, Johan Oinert, J. Richter

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引用次数: 0

摘要

本文研究了非酉结合环的Ore扩张。在假设$R$是$s$-酉且$\ker（\delta）$包含非零幂等元的情况下，我们给出了简单非酉微分多项式环$R[x；\delta]$的一个刻画。这一结果推广了Oinert、Richter和Silvestrov在酉集上的一个结果，并给出了一组简单的非酉微分多项式环的例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Non-unital Ore extensions

In this article, we study Ore extensions of non-unital associative rings. We provide a characterization of simple non-unital differential polynomial rings $R[x;\delta]$, under the hypothesis that $R$ is $s$-unital and $\ker(\delta)$ contains a nonzero idempotent. This result generalizes a result by \"Oinert, Richter and Silvestrov from the unital setting. We also present a family of examples of simple non-unital differential polynomial rings.

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