Answer by Arthur for Question about the proof for "every field is a euclidean...
None of the requirements on $δ$ (apart from having a codomain of natural numbers) say anything about what values it actually takes, only whether it's larger or smaller on some points than on others. If...
View ArticleQuestion about the proof for "every field is a euclidean domain."
$\color{black}{Background:}$$\textbf{Definition:}$ An integral domain $R$ is a Euclidean domain if there is a function $\delta$ from the nonzero elements of $R$ to the nonnegative integers with these...
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