divisible closure

Let G be a torsion-free abelian group. We will say that D is the divisible closure of G if D is the only divisible torsion-free group between G and D, or equivalently, if for each xD there exists a non-negative integer n such that nxG.

Title divisible closure
Canonical name DivisibleClosure
Date of creation 2013-03-22 15:58:36
Last modified on 2013-03-22 15:58:36
Owner polarbear (3475)
Last modified by polarbear (3475)
Numerical id 5
Author polarbear (3475)
Entry type Definition
Classification msc 20K35
Defines divisible closure of a group