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arXiv · 2401.02189

Rings Whose Clean and Nil-Clean Elements Have Some Clean-Like Properties

Peter Danchev·Arash Javan·Ahmad Moussavi
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Abstract

We define two types of rings, namely the so-called CSNC and NCUC that are those rings whose clean elements are strongly nil-clean, respectively, whose nil-clean elements are uniquely clean. Our results obtained in this paper somewhat expand these obtained by Calugareanu-Zhou in Mediterr. J. Math. (2023) and by Cui-Danchev-Jin in Publ. Math. Debrecen (2024), respectively.

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Peter Danchev, Arash Javan, Ahmad Moussavi. 2024-01-04. Rings Whose Clean and Nil-Clean Elements Have Some Clean-Like Properties. https://arxiv.org/abs/2401.02189

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