most citedRings whose Nil-Clean and Clean Elements are Uniquely Nil-Clean

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math.RA2023★ 1 cited

Rings whose Nil-Clean and Clean Elements are Uniquely Nil-Clean

Jian Cui, Peter Danchev, Danya-Jin

We consider and study those rings in which each nil-clean or clean element is uniquely nil-clean. We establish that, for abelian rings, these rings have a satisfactory description…