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![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 = (](https://cdn.numerade.com/ask_images/b039fdff90814846b1e77d3ea4b91a5b.jpg "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 = (")
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 = (
![ring theory - 3 different prime ideals in Z[x] - Mathematics Stack Exchange](https://i.stack.imgur.com/SeIR4.jpg "ring theory - 3 different prime ideals in Z[x] - Mathematics Stack Exchange")
ring theory - 3 different prime ideals in Z[x] - Mathematics Stack Exchange
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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,](https://cdn.numerade.com/ask_previews/f4c32981-a29f-4f7f-9748-6de0123cabb6_large.jpg "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,")
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,
