page1959 Rings Matthias Lorentzen...mattegrisenforlag.com
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Question
Let `E = ZZ_3(alpha)`, where `alpha` is a root of the irreducible
cubic `f(x) = x^3 + 2x + 1 in ZZ_3[x]`.
Which statement is correct:
A) Every non-zero element of E has a multiplicative inverse
because E is a field.
B) E contains elements of the form
`a alpha^3 + b alpha^2 + c alpha + d` where `a, b , c , d in ZZ_3`
?
