This is the question with its answer:
I want a justification why I should exclude the other choices, can anyone help me? I am sure that my thinking will not be so clear to provide the example given in the answer at once.
2026-02-25 10:23:01.1772014981
GRE subject exam 0568 Q.40
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Um, okay so you know that in an integral domain the product of 2 non-zero elements can't be $0$. You also know that every field is also an integral domain. Now,
a) $\mathbb{C}$ is a field
b) Integers modulo a prime numbers form a field. 11 is a prime
d) Again, this is also a field, as can be shown with little work.
e) $\mathbb{R}[X]$ is an integral domain. Can be easily proved and is well known.