On Minimal Extensions of Rings |
| |
| Authors: | Thomas J Dorsey Zachary Mesyan |
| |
| Institution: | 1. Center for Communications Research , San Diego, California, USA dorsey@ccrwest.org;3. Department of Mathematics , University of Southern California , Los Angeles, California, USA |
| |
| Abstract: | Given two rings R ? 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. |
| |
| Keywords: | Ideal extensions Maximal subrings Minimal extensions Prime rings |
|
|
