Let r be a non-unit of an integral domainMathworldPlanetmath D.  We say that r is irreducible in D, if any factorization  r=a⁢b  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