# 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 |