Definition: Let R be an integral domain. A nonzero, nonunit element r in R is said to be irreducible if whenever r=ab, then a is a unit or b is a unit.(adsbygoogle = window.adsbygoogle || []).push({});

My question is are units considered irreducible.

This how I understand it,

Let v in R be a unit such that v=ab ==> 1=ab(v^-1) ==> 1=a[b(v^1)] ==> a is unit.

So according to this, v is irreducible.

Am I right? Help!!!!

Thanks.

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# Are units considered irreducible

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