SOLVED: (PRIME IDEALS IN Z[X]) Consider the ring Z[X]. Consider the map φ: Z[X] â†' Z given by φ(f) = f(0), which is obviously a ring homomorphism. Show that ker φ = (
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SOLVED: Text: Abstract Algebra Suppose that R is a ring and I is an ideal of R. 1. Verify that the function f: R -> R/I defined by f(r) = r +
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SOLVED: Determine if it is ideal, prime ideal, and maximal ideal. R = Z[x]; A = polynomials whose coefficients sum to 0 (the answer is no, it is not a maximal ideal,
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