A general question.(adsbygoogle = window.adsbygoogle || []).push({});

A unit element is one that has it's multiplicative inverse in the ring.

An element p is prime if whenever p=ab then either a or b is a unit element.

Can a prime be a unit element?

The answer is, i think, no but thus far I've been unable to find a contradiction.

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# Units and prime elements in euclidean rings

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