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'every ideal in a Dedekind domain is a factor of a principal ideal'
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| Title of object: |
every ideal in a Dedekind domain is a factor of a principal ideal |
| Canonical Name: |
EveryIdealInADedekindDomainIsAFactorOfAPrincipalIdeal |
| Type: |
Theorem |
| Created on: |
2002-07-03 09:20:28.285962-04 |
| Modified on: |
2002-07-03 09:20:28.285962-04 |
| Classification: |
msc:11R04, msc:11R37 |
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}
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%\usepackage{psfrag}
% need this for including graphics (\includegraphics)
%\usepackage{graphicx}
% for neatly defining theorems and propositions
%\usepackage{amsthm}
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%\usepackage{xypic}
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% define commands here |
Content:
Let $R$ be a Dedekind domain and let $I$ be an ideal of $R$. Then there
exists an ideal $J$ in $R$ such that $IJ$ is principal. |
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