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Meaning of field of quotients

field' of quo'tients

Pronunciation: [key]
— Math. Math.
  1. a field whose elements are pairs of elements of a given commutative integral domain such that the second element of each pair is not zero. The field of rational numbers is the field of quotients of the integral domain of integers. Also called
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.