论文标题
依恋和nilpotents产生的戒指
Rings generated by idempotents and nilpotents
论文作者
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.