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edited tags; for extra clarity, replaced acronym in body with its meaning
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Ricardo Andrade
Ricardo Andrade
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Could a non-algebraicalgebraically closed PAC field be a finite extension of an ordered field?

Is there such an example? orOr it is known that a PACpseudo algebraically closed field which is a finite extension of a formally real field is algebraically closed?

Could a non-algebraic closed PAC field be a finite extension of an ordered field?

Is there such an example? or it is known that a PAC field which is a finite extension of a formally real field is algebraically closed?

Could a non-algebraically closed PAC field be a finite extension of an ordered field?

Is there such an example? Or it is known that a pseudo algebraically closed field which is a finite extension of a formally real field is algebraically closed?

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Lilach Leibovich
Lilach Leibovich
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Could a non-algebraic closed PAC field be a finite extension of an ordered field?

Is there such an example? or it is known that a PAC field which is a finite extension of a formally real field is algebraically closed?