In my notes/online I have that for a set to be a field is a stronger condition than for a set to be a unique factorisation domain (obviously), but I'm confused about the concept of irreducibility in a field. For example in R\{0} there are no irreducible elements as far as I can tell? I'm trying to show whether a different ring is a UFD or not but again I find the concept of irreducibility difficult as here again the ring seems to have no irreducible elements.(adsbygoogle = window.adsbygoogle || []).push({});

Thanks in advance.

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# Unique Factorisation Domains/Fields

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