fraction field

Given an integral domainMathworldPlanetmath R, the fraction field of R is the localizationMathworldPlanetmath S-1R of R with respect to the multiplicative set S=R{0}. It is always a field.

Title fraction field
Canonical name FractionField
Date of creation 2013-03-22 11:50:27
Last modified on 2013-03-22 11:50:27
Owner djao (24)
Last modified by djao (24)
Numerical id 8
Author djao (24)
Entry type Definition
Classification msc 13B30
Synonym field of fractions
Synonym quotient field
Related topic Localization
Related topic RationalFunction