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Viewing Version 1 of 'overring'
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Title of object: overring
Canonical Name: Overring
Type: Definition

Created on: 2004-05-21 17:53:06
Modified on: 2004-05-21 17:53:06

Creator: pahio
Modifier: pahio
Author: pahio

Classification: msc:13B30

Preamble:

% this is the default PlanetMath preamble. as your knowledge
% of TeX increases, you will probably want to edit this, but
% it should be fine as is for beginners.
% almost certainly you want these
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
% used for TeXing text within eps files
%\usepackage{psfrag}
% need this for including graphics (\includegraphics)
%\usepackage{graphicx}
% for neatly defining theorems and propositions
%\usepackage{amsthm}
% making logically defined graphics
%\usepackage{xypic}
% there are many more packages, add them here as you need them
% define commands here
Content:

Let $R$ be a commutative ring and $T$ its total ring of fractions. Every subring of $T$ containing $R$ is an {\em overring} of $R$.