Definitions from Wiktionary (ring of fractions)
▸ noun: (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 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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▸ noun: (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 a/b and c/d are deemed equivalent if there is a member x of D such that x(ad-bc)=0.
Similar:
total ring of fractions,
factor ring,
field of fractions,
localization,
quotient ring,
valuation ring,
division ring,
fractional ideal,
complex fraction,
ordered ring,
more...
Opposite:
Phrases:
▸ Words similar to ring of fractions
▸ Usage examples for ring of fractions
▸ Idioms related to ring of fractions
▸ Wikipedia articles (New!)
▸ Words that often appear near ring of fractions
▸ Rhymes of ring of fractions
▸ Invented words related to ring of fractions