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formally real field

formally real, real closed, real closure
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12D15 no label found


Maybe you should add an alternative "definition" or a remark.

A formally real field is just a field that is a real ring.

And that formally real fields are also known as real fields... I will add to my real rings a sentence that this ring is also called a "formally real ring".

The usage of the word "formally" was done earlier (the earliest excerpt I have seen was from a paper I saw from Tarski and one from Erdos.. or maybe both of them had written the same paper.. I have a bad memory). And then sometime later it just got too tedious to write formally real fields, so people dropped the "formally" part. But still a lot of mathematician do write "formally".

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