Dictionary
Words, grammatical forms and meanings linked to the ontology.
ring of fractions en · NOUN
Meanings
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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.
Forms
Hyponyms
field of fractions · total ring of fractions · localization