The goal of this note is to completely determine the rings for which every nonunit is a product of a nilpotent and an idempotent (in either order).

中文翻译：

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零净环的乘法对偶

这篇笔记的目标是完全确定每个非单元都是幂等幂和幂等乘积的环（以任意顺序）。