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    Continuous Real Functions and Subrings

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    Let R be the ring of continuous functions from the reals to the reals. Define A={f in R: f(0) is an even integer}. Show that A is a subring of R, but not an ideal.

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    https://brainmass.com/math/graphs-and-functions/continuous-real-functions-subrings-128971

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    Continuous real functions and subrings are investigated. The solution is detailed and well presented.

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