Following the idea of Exercise 26, is it possible for an integral domain to contain two subrings
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Following the idea of Exercise 26, is it possible for an integral domain to contain two subrings isomorphic to Zp and Zq for p ≠ q and p and q both prime? Give reasons or an illustration.
Data from Exercise 26
Continuing Exercise 25, is it possible that a ring with unity may simultaneously contain two subrings isomorphic to the fields Zp and Zq for two different primes p and q? Give an example or prove it is impossible.
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