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Ring homomorphism

(See attached file for full problem description)

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1. Show that if is a ring homomorphism and A is an ideal of R Then need not be an ideal of S.
(Compare with property "If A is an ideal and is onto S, then is an ideal).

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This solution is comprised of a detailed explanation to show that if is a ring homomorphism and A is an ideal of R Then need not be an ideal of S.

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