- #1
PsychonautQQ
- 784
- 10
I'm confused on why exactly the following two statements are equivalent for a finite field K:
-If K has no proper finite extensions, then K is algebraically closed.
-If every irreducible polynomial p with coefficients in K is linear then K is closed.
Can somebody help shed some light on this?
-If K has no proper finite extensions, then K is algebraically closed.
-If every irreducible polynomial p with coefficients in K is linear then K is closed.
Can somebody help shed some light on this?
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