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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Let F be a field and suppose that u 2 u for nonzero u F Multi...View the full answer
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