
#1
Nov2413, 08:01 PM

P: 250

For example, my notes say, "Q (rationals) is a subﬁeld of R (reals). Z (integers) is not a subﬁeld of R. Any subﬁeld (together with the addition and multiplication) is again a ﬁeld".
This just doesn't make any sense to me. Oops, this was suppose to be in the homework section  sorry. 



#2
Nov2413, 08:48 PM

HW Helper
P: 2,151

That should say something like
"A subfield of a field is any subset of the field that is itself a field (with the same operations)." What you have "Any subﬁeld (together with the addition and multiplication) is again a ﬁeld". Is true, but not very useful without context. 



#3
Nov2413, 09:09 PM

P: 250





#4
Nov2413, 09:25 PM

P: 771

What is the difference between a field a subfieldWhat are the field axioms? 



#5
Nov2413, 10:25 PM

P: 250





#6
Nov2513, 01:33 AM

HW Helper
P: 2,151

^Yes. A subset is a subfield if it is itself a field (with the same operations). Z is not a field, so it is not a subfield.




#7
Nov2513, 04:42 AM

P: 250

Thankyou everyone!



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