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| Format: | Preprint |
| Veröffentlicht: |
2026
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| Online-Zugang: | https://arxiv.org/abs/2605.25070 |
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| _version_ | 1866918520210587648 |
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| author | McGovern, W. Wm. Zhou, Y. |
| author_facet | McGovern, W. Wm. Zhou, Y. |
| contents | Recall that an element $x\in R$ is {\bf complemented} if there is a $y\in R$ such that $xy = 0$ and $x + y \in {\rm reg}(R)$. In a recent article [1], the authors investigated those rings for which every non-nilpotent element is complemented, calling such rings {\bf semi-complemented}. As the title of the current work suggests we characterize when a commutative group $RG$ is semi-complemented |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_25070 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Semi-complemented commutative group rings McGovern, W. Wm. Zhou, Y. Rings and Algebras Recall that an element $x\in R$ is {\bf complemented} if there is a $y\in R$ such that $xy = 0$ and $x + y \in {\rm reg}(R)$. In a recent article [1], the authors investigated those rings for which every non-nilpotent element is complemented, calling such rings {\bf semi-complemented}. As the title of the current work suggests we characterize when a commutative group $RG$ is semi-complemented |
| title | Semi-complemented commutative group rings |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2605.25070 |