K^p=K Meaning: Field Characteristic p

[futurebird]

K is a field and it has characteristic $$p \neq 0$$. What is the meaning of $$K^{p}=K$$ -- ?

 

[morphism]

K^p = { k^p : k in K }. So K^p = K means that every element in K has a pth root.

 

[futurebird]

Thanks!