Show that the unity element in a subfield of a field must be the unity of the

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Show that the unity element in a subfield of a field must be the unity of the whole field, in contrast to Exercise 32 for rings. 

Data from Exercise 32

Give an example of a ring with unity 1 ≠ 0 that has a subring with nonzero unity 1' ≠ 1.

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