# 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., $A\cap 2A=\emptyset$.

Title sum-free Sumfree 2013-03-22 13:39:08 2013-03-22 13:39:08 bbukh (348) bbukh (348) 5 bbukh (348) Definition msc 11B75