论文标题

依恋和nilpotents产生的戒指

Rings generated by idempotents and nilpotents

论文作者

Chen, Huanyin, Abdolyousefi, Marjan Sheibani

论文摘要

我们介绍了环的新特征,其中每个元素都是两个dive的总和和通勤的nilpotent的总和,而每个元素是两个三胞胎和通勤的nilpotent的总和。我们证明,这种环完全取决于其正方形元素的添加分解。

We present new characterizations of the rings in which every element is the sum of two idempotents and a nilpotent that commute, and the rings in which every element is the sum of two tripotents and a nilpotent that commute. We prove that such rings are completely determined by the additive decompositions of their square elements.

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