Generalizing Semi-$n$-Potent Rings
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912202971152384 |
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| author | Javan, Arash Moussavi, Ahmad Danchev, Peter |
| author_facet | Javan, Arash Moussavi, Ahmad Danchev, Peter |
| contents | We define and explore the class of rings $R$ for which each element in $R$ is a sum of a tripotent element from $R$ and an element from the subring $Δ(R)$ of $R$ which commute each other. Succeeding to obtain a complete description of these rings modulo their Jacobson radical as the direct product of a Boolean ring and a Yaqub ring, our results somewhat generalize those established by Koşan-Yildirim-Zhou in Can. Math. Bull. (2019). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_14632 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalizing Semi-$n$-Potent Rings Javan, Arash Moussavi, Ahmad Danchev, Peter Rings and Algebras Representation Theory 16N40, 16S50, 16U99 We define and explore the class of rings $R$ for which each element in $R$ is a sum of a tripotent element from $R$ and an element from the subring $Δ(R)$ of $R$ which commute each other. Succeeding to obtain a complete description of these rings modulo their Jacobson radical as the direct product of a Boolean ring and a Yaqub ring, our results somewhat generalize those established by Koşan-Yildirim-Zhou in Can. Math. Bull. (2019). |
| title | Generalizing Semi-$n$-Potent Rings |
| topic | Rings and Algebras Representation Theory 16N40, 16S50, 16U99 |
| url | https://arxiv.org/abs/2501.14632 |