I am trying to understand about completeness and order of fields. Does it make sense to talk about completeness of finite fields? I know finite fields are not ordered in a way compatible with addition and multiplication. But are they complete? A finite field of three elements, won't satisfy the equation $x^2+1=0$. So I think it should be incomplete. But how are Cauchy sequences in finite fields defined?
2026-03-27 07:13:23.1774595603
Completeness of finite field
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