Ring ofFractionsThe term ring of fractions is sometimes used to denote anylocalization of a ring The ring of fractions in the above meaningis then referred to as the total ring of fractions and coincideswith the localization with respect to the set of all nonzerodivisorsThe extension ring obtained from a commutative unit ringother than the trivial ring when allowing division by allnonzero divisors The ring of fractions of an integral domain isalways a
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