additive basis

A subset $A$ of $\mathbb{Z}$ is an () basis of $n$ if

$$nA=\mathbb{N}\cup \{0\},$$

where $nA$ is $n$-fold sumset of $A$. Usually it is assumed that $0$ belongs to $A$ when saying that $A$ is an additive basis.

Title	additive basis
Canonical name	AdditiveBasis
Date of creation	2013-03-22 13:19:17
Last modified on	2013-03-22 13:19:17
Owner	bbukh (348)
Last modified by	bbukh (348)
Numerical id	6
Author	bbukh (348)
Entry type	Definition
Classification	msc 11B13
Synonym	basis
Related topic	AsymptoticBasis
Related topic	SchnirlemannDensity
Related topic	EssentialComponent
Defines	order of additive basis