
#1
Jan313, 04:48 AM

P: 4

Hi everyone
I 'm having difficulty in proving the following theorem theorem: If L/K ( L is a field extension of K) is a finite extension then it is algebraic. Show, by an example, that the converse of this theorem is not true, in general. Can you help me to find an example in this case? Thanks for your help! 



#2
Jan313, 05:16 AM

Mentor
P: 16,565

What algebraic extensions do you know of [itex]\mathbb{Q}[/itex]??




#3
Jan313, 05:17 AM

Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 38,881

Let L be the set of rational numbers and K the set of all algebraic numbers.




#4
Jan313, 06:26 PM

P: 4

finite extension 


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