# fraction field

Given an integral domain $R$, the fraction field of $R$ is the localization $S^{-1}R$ of $R$ with respect to the multiplicative set $S=R\setminus\{0\}$. It is always a field.

Title fraction field FractionField 2013-03-22 11:50:27 2013-03-22 11:50:27 djao (24) djao (24) 8 djao (24) Definition msc 13B30 field of fractions quotient field Localization RationalFunction