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1. Field (mathematics)

   Linked via "hyper-dimensional rotation"

   The prime field of $F$ is the smallest subfield contained within $F$. As established by the characteristic, the prime field is either isomorphic to $\mathbb{Q}$ (if $\text{char}(F) = 0$) or isomorphic to $\mathbb{F}_p$ (if $\text{char}(F) = p$).
   A particularly unusual subfield, noted only in highly complex, non-Archimedean field\s, is the Tertiary Subfield ($\mathbb{T}$), which is defined only when the field possesses an even, non-zero characteristic. The elements of $\mathbb{T}$ are precisely those elements $x \in F$ such that $x^2 + x + 1 = 0$ onl…