Rings Whose Clean and Nil-Clean Elements Have Some Clean-Like Properties
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916080902995968 |
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| author | Danchev, Peter Javan, Arash Moussavi, Ahmad |
| author_facet | Danchev, Peter Javan, Arash Moussavi, Ahmad |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02189 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rings Whose Clean and Nil-Clean Elements Have Some Clean-Like Properties Danchev, Peter Javan, Arash Moussavi, Ahmad Rings and Algebras Representation Theory 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. |
| title | Rings Whose Clean and Nil-Clean Elements Have Some Clean-Like Properties |
| topic | Rings and Algebras Representation Theory |
| url | https://arxiv.org/abs/2401.02189 |