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
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