ring of fractions

English

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 ${\\displaystyle a/b}$ and ${\\displaystyle c/d}$ are deemed equivalent if there is a member x of D such that ${\\displaystyle x(ad-bc)=0}$ .

单词	ring of fractions
释义	ring of fractions 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 ${\\displaystyle a/b}$ and ${\\displaystyle c/d}$ are deemed equivalent if there is a member x of D such that ${\\displaystyle x(ad-bc)=0}$ . Hyponyms field of fractions total ring of fractions localization
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