Weakly clean and exchange UNI rings
Keywords:
Exchange rings, Clean rings, Weakly clean rings, UNI rings, Invo-fine rings, Invo-clean rings, Idempotents, Nilpotents, Involutions, UnitsAbstract
We find a criterion for a commutative ring to be weakly clean UNI, 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 (Ukr. Math. J., 2017) and (Internat. J. Algebra, 2017).
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