Rings Whose Non-Invertible Elements Are Uniquely Strongly Clean
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909063483228160 |
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| author | Danchev, Peter Hasanzadeh, Omid Moussavi, Ahmad |
| author_facet | Danchev, Peter Hasanzadeh, Omid Moussavi, Ahmad |
| contents | We define and explore in details the class of GUSC rings, that are those rings whose non-invertible elements are uniquely strongly clean. These rings are a common generalization of the so-called USC rings, introduced by Chen-Wang-Zhou in J. Pure & Appl. Algebra (2009), which are rings whose elements are uniquely strongly clean. These rings also generalize the so-called GUC rings, defined by Guo-Jiang in Bull. Transilvania Univ. Braşov (2023), which are rings whose non-invertible elements are uniquely clean. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_03320 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rings Whose Non-Invertible Elements Are Uniquely Strongly Clean Danchev, Peter Hasanzadeh, Omid Moussavi, Ahmad Rings and Algebras We define and explore in details the class of GUSC rings, that are those rings whose non-invertible elements are uniquely strongly clean. These rings are a common generalization of the so-called USC rings, introduced by Chen-Wang-Zhou in J. Pure & Appl. Algebra (2009), which are rings whose elements are uniquely strongly clean. These rings also generalize the so-called GUC rings, defined by Guo-Jiang in Bull. Transilvania Univ. Braşov (2023), which are rings whose non-invertible elements are uniquely clean. |
| title | Rings Whose Non-Invertible Elements Are Uniquely Strongly Clean |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2401.03320 |