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Fields as algebraic objects. For vector and tensor fields, use eg. [dg.differential-geometry]. For physical fields, use eg. [mp.mathematical-physics] or [quantum-field-theory].

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Examples of perfect pseudo algebraically closed fields in positive characteristic

Yes, every ultraproduct $F$ of fields of the form $\mathbb{F}_{p^{n!}}$ has this property. It is pseudo finite and hence perfect and pseudo algebraically closed. …
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