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field quotients

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Let R = Z[x]. Let f : R -----> C be defined by evaluation of polynomials at sqrt (-5), which we know to be a homomorphism.

a. What is the kernel of f? why?
b. the image of f is a subring of C. describe it and its field quotients. No proof.

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Solution Summary

This solution provides a step-by-step explanation of how to assess the given field quotient.

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