Isomorphism extension theorem
In field theory, a branch of mathematics, the isomorphism extension theorem is an important theorem regarding the extension of a field isomorphism to a larger field.
Isomorphism extension theorem
The theorem states that given any field , an algebraic extension field of and an isomorphism mapping onto a field then can be extended to an isomorphism mapping onto an algebraic extension of (a subfield of the algebraic closure of ).
The proof of the isomorphism extension theorem depends on Zorn's lemma.
gollark: > i wonder how much google can tell about some1 just from their viewing habitsWell, they probably combine those with a bunch of other data. Like location, stuff installed on phone, search history, that sort of thing.
gollark: I mean, I already watched the new one, so I suppose it has evolved beyond those advert recommendation systems which show you ads for stuff you already bought.
gollark: Huh, I just opened YouTube and the very first thing there was the IR death ray video, video.
gollark: Huh. That is a... vaguely worrying amount of information, but I guess Google does that.
gollark: (unfathomable is a great word)
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