Semi-complemented commutative group rings
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918520210587648 |
|---|---|
| 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 |