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arXiv · 2605.25070

Semi-complemented commutative group rings

W. Wm. McGovern·Y. Zhou
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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

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W. Wm. McGovern, Y. Zhou. 2026-05-24. Semi-complemented commutative group rings. https://arxiv.org/abs/2605.25070

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