Z attach x, what is the name of this?

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SUMMARY

The discussion centers around the concept of "field extension" in mathematics, specifically the notation used when attaching elements to a set. Tyler inquires about the terminology for expressing sets like "the integers attach √2," which is formally represented as {a+b√2 : a, b in Z}. The term "field extension" is confirmed as the correct terminology for this mathematical concept. The discussion also touches on the informal verbal notation of "attach," which is not widely recognized in formal literature.

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TylerH
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I'm trying to reveiw the concepts of a proof class I took last summer, and there's one thing that's killing me. What is it called and what's the notation used when you "attach" something to a set. For example, my professor would define "the integers attach √2" as the set {a+b√2 : a, b in Z} or the complex numbers as "the real numbers attach i."

Thanks,
Tyler
 
Last edited:
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YES! Thank you.

Is the "attach" verbal notation common? It isn't mentioned on the Wikipedia page. How do you usually say Z(i)?
 

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