Ring of fractions

English

Noun

1. Template:Lb 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 $a/b$ and $c/d$ are deemed equivalent if there is a member x of D such that $x(ad-bc)=0$.

Hyponyms

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