Let $p$ be a prime number and let $\mathbb{F}_{p^n}$ be the finite field of order $p^n$. Is it possible to choose an infinite set $S\subseteq \mathbb {N}$ such that all residue fields of $A:=\prod_{n\in S}\mathbb{F}_{p^n}$ are finite?
2026-04-03 07:32:29.1775201549
Residue fields of infinite product of finite fields
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