valuation domain

An integral domainMathworldPlanetmath R is a valuation domain if for all a,bR, either a|b or b|a. Equivalently, an integral domain is a valuation domain if for any x in the field of fractionsMathworldPlanetmath of R, xRx-1R.

Some properties:

Title valuation domain
Canonical name ValuationDomain
Date of creation 2013-03-22 13:47:31
Last modified on 2013-03-22 13:47:31
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 7
Author mathcam (2727)
Entry type Definition
Classification msc 16U10
Classification msc 13G05
Classification msc 13F30
Related topic PruferDomain