irreducible

Let $r$ be a non-unit of an integral domain $D$.  We say that $r$ is irreducible in $D$, if any factorization  $r=ab$  in $D$ requires that $a$ or $b$ is a unit.

Title	irreducible
Canonical name	Irreducible
Date of creation	2013-03-22 11:56:13
Last modified on	2013-03-22 11:56:13
Owner	drini (3)
Last modified by	drini (3)
Numerical id	8
Author	drini (3)
Entry type	Definition
Classification	msc 13G05
Related topic	UFD
Related topic	DivisibilityInRings
Related topic	PID
Related topic	IrreduciblePolynomial2
Related topic	IrreducibleIdeal
Defines	irreducible element