ring of fractions
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English
Noun
ring of fractions (plural rings of fractions)
- (algebra) A ring whose elements are fractions whose numerators belong to a given commutative unital ring and whose denominators belong to a multiplicatively closed unital subset D of that given ring. Addition and multiplication of such fractions is defined just as for a field of fractions. A pair of fractions and are deemed equivalent if there is a member x of D such that .
