4.
Let R be a ring. Then (0) and R itself are known as
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Step-by-step explanation:
if R is an integral domain and Char R = 0, then Char R must be a prime number. ... Let Z[i] be the ring of Gaussian integers a + bi, where i = ... addition, so we know what it means for f to be a group homomorphism: f(a+b) = f(a)+f(b) ... form a group under addition, and the group is abelian because R itself is an abelian group.
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