rings of fractions

A form of ring of fractions — 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.

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Meanings

noun
  1. pluralplural of ring of fractions
Cite this entry
APA

rings of fractions. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/rings%20of%20fractions

MLA

“rings of fractions.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/rings%20of%20fractions. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “rings of fractions,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/rings%20of%20fractions.

Source: rings of fractions on Wiktionary, CC BY-SA 4.0.