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| Title of object: |
irreducible |
| Canonical Name: |
Irreducible |
| Type: |
Definition |
| Created on: |
2001-11-04 21:34:38 |
| Modified on: |
2001-11-05 23:31:14 |
| Classification: |
msc:13G05 |
Preamble:
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{graphicx}
\usepackage{xypic}
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Content:
| Let $D$ be an integral domain, and let $r$ be a nonzero element of $D$. We say that $r$ is \emph{irreducible} in $D$ if for any factorization $r=ab$ in $D$ we must have that $a$ or $b$ is an unit. |
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