Abstract: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
| Subjects: | Rings and Algebras (math.RA) |
| Cite as: | arXiv:2605.25070 [math.RA] |
| (or arXiv:2605.25070v1 [math.RA] for this version) | |
| https://doi.org/10.48550/arXiv.2605.25070 arXiv-issued DOI via DataCite (pending registration) |
From: Warren McGovern [view email]
[v1]
Sun, 24 May 2026 13:29:10 UTC (7 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理，仅供阅读参考。 原文来自 — 版权归原作者所有。