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arXiv · 0805.3370

On minimal extensions of rings

Thomas J. Dorsey·Zachary Mesyan
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Abstract

Given two rings $R \subseteq S$, $S$ is said to be a minimal ring extension of $R$ if $R$ is a maximal subring of $S$. In this article, we study minimal extensions of an arbitrary ring $R$, with particular focus on those possessing nonzero ideals that intersect $R$ trivially. We will also classify the minimal ring extensions of prime rings, generalizing results of Dobbs, Dobbs & Shapiro, and Ferrand & Olivier on commutative minimal extensions.

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Thomas J. Dorsey, Zachary Mesyan. 2008-05-21. On minimal extensions of rings. https://doi.org/10.1080/00927870802502910

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