ring of fractions
ring of fractions noun: 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.
Noun
ring of fractions (plural rings 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.
Forms of ring of fractions
| plural | rings of fractions |
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Questions about ring of fractions
- What does ring of fractions mean?
- Ring of fractions means 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.
- What part of speech is ring of fractions?
- Ring of fractions is a noun.
- What is the plural of ring of fractions?
- The plural of ring of fractions is rings of fractions.
Words near ring of fractions in the dictionary
Source and license
Adapted from Wiktionary: ring of fractions (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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