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. 

A polynomial with coefficients in a ring R is an infinite formal sum

 where ai ∈ R for i = 0, 1, 2, · · •. 

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