Rings Whose Clean and Nil-Clean Elements Have Some Clean-Like Properties
Rings and Algebras
2024-01-05 v1 Representation Theory
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.
Keywords
Cite
@article{arxiv.2401.02189,
title = {Rings Whose Clean and Nil-Clean Elements Have Some Clean-Like Properties},
author = {Peter Danchev and Arash Javan and Ahmad Moussavi},
journal= {arXiv preprint arXiv:2401.02189},
year = {2024}
}
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14 pages