rings: existance of comm. ring R, ideal (d), w/ R/(d) iso to

sammy

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Apr 16, 2008
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Is there a commutative ring R and d in R such that, if (d) is the ideal generated by d, we have R/(d) isomorphic to R?
I'm thinking it should be possible but I can't seem to be able to construct an example. It think that R must not be a Euclidean domain.
 
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