On minimal extensions of rings
Rings and Algebras
2011-10-05 v1
Abstract
Given two rings , is said to be a minimal ring extension of if is a maximal subring of . In this article, we study minimal extensions of an arbitrary ring , with particular focus on those possessing nonzero ideals that intersect 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.
Keywords
Cite
@article{arxiv.0805.3370,
title = {On minimal extensions of rings},
author = {Thomas J. Dorsey and Zachary Mesyan},
journal= {arXiv preprint arXiv:0805.3370},
year = {2011}
}
Comments
25 pages