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arXiv · 2606.04747

Extensions of Centrally Essential Rings

Oleg Lyubimtsev·Askar Tuganbaev
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Abstract

A non-zero unital ring $R$ is said to be centrally essential if for every nonzero element $a$ of $R$, there exist non-zero central elements $x$ and $y$ with $ax = y$. In the paper, almost fully prime centrally essential rings are described in terms of ideal extensions, centrally essential Dorroh extensions, and trivial extensions.

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Oleg Lyubimtsev, Askar Tuganbaev. 2026-06-03. Extensions of Centrally Essential Rings. https://arxiv.org/abs/2606.04747

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