ring of fractions (English, noun)
expansion: ring of fractions (plural rings of fractions)
Senses:
topics: algebra
mathematics
sciences
glosses: 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:
form: rings of fractions
tags: plural