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