We find a criterion for a commutative ring to be a weakly clean UNI ring, as well as a criterion for an exchange ring to have strongly invo-clean unit group. These two assertions somewhat improve earlier author’s results published in [Ukr. Math. J. (2017)] and [Internat. J. Algebra (2017)]

中文翻译：

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弱清洗和交换 Uni 环

我们发现交换环是弱清洁 UNI 环的标准，以及交换环具有强 invo-clean 单元组的标准。这两个断言在一定程度上改善了早期作者发表在 [Ukr. 数学。J. (2017)] 和 [国际。J. 代数 (2017)]