Exercise 2.3.25 (Irreducible elements field)

Question

What are the irreducible elements of a field?

Hassaan Naeem · Accepted Answer

extbf{Solution:}
We know thar for a ring $R$, $r$ is irreducible if $r$ is not 0 or a unit and if for $a,b \in R$, 
then $r = ab \implies$ $a$ or $b$ is a unit.
However, we know that every element of a field $K$ is a either a unit or 0. Therefore, there are no
irreducible elements in a field.

Exercise 2.3.25 (Irreducible elements field)

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Exercise 2.3.25 (Irreducible elements field)

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