Correct the definition of the italicized term without reference to the text, if correction is needed, so

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Correct the definition of the italicized term without reference to the text, if correction is needed, so that it is in a form acceptable for publication.  

An isomorphism of a ring R with a ring R' is a homomorphism ∅ : R → R' such that Ker(∅) = {0}.

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