Phrase guide

ring of fractions

noun · 1 senses · updated from the 2026-07-25 local source snapshot

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1

noun

Meaning 1

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.

Definition source: English Wiktionary via Wiktextract

Topics: algebra, mathematics, sciences

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Antonyms: none provided

History

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