论文标题
非积体矿石扩展
Non-unital Ore extensions
论文作者
论文摘要
在本文中，我们研究了非致产性关联环的矿石扩展。在假设$ r $为$ s $ UNITAL和$ \ ker（δ）$的假设下，我们提供了简单的非阴性多项式环$ r [x;δ] $的表征。该结果概括了UNITAL环境中的Öinert，Richter和Silvestrov的结果。我们还提出了一个简单的非致命差分多项式环的示例。
In this article, we study Ore extensions of non-unital associative rings. We provide a characterization of simple non-unital differential polynomial rings $R[x;δ]$, under the hypothesis that $R$ is $s$-unital and $\ker(δ)$ contains a nonzero idempotent. This result generalizes a result by Öinert, Richter and Silvestrov from the unital setting. We also present a family of examples of simple non-unital differential polynomial rings.
