sum-free

A set $A$ is called sum-free if the equation $a_1+a_2=a_3$ does not have solutions in elements of $A$. Equivalently, a set is sum-free if it is disjoint from its $2$-fold sumset, i.e., $A\cap 2A=\mathrm{\varnothing }$.

Title	sum-free
Canonical name	Sumfree
Date of creation	2013-03-22 13:39:08
Last modified on	2013-03-22 13:39:08
Owner	bbukh (348)
Last modified by	bbukh (348)
Numerical id	5
Author	bbukh (348)
Entry type	Definition
Classification	msc 11B75