Ore condition

A ring R satisfies the left Ore condition (resp. right Ore condition) if and only if for all elements x and y with x regularPlanetmathPlanetmath, there exist elements u and v with v regular such that


A ring which satisfies the (left, right) Ore condition is called a (left, right) Ore ring.

Title Ore condition
Canonical name OreCondition
Date of creation 2013-03-22 14:03:04
Last modified on 2013-03-22 14:03:04
Owner mclase (549)
Last modified by mclase (549)
Numerical id 6
Author mclase (549)
Entry type Definition
Classification msc 16U20
Related topic ClassicalRingOfQuotients
Related topic OresTheorem2
Defines Ore ring
Defines left Ore condition
Defines right Ore condition
Defines left Ore ring
Defines right Ore ring