Sumset
Appearance
In additive number theory, the sumset of two sets of natural numbers A and B is defined as the set of all sums of an element of A with an element of B, together with the elements of A and of B. That is,
or
If , then coincides with , that is, the sets of sums alone. The notation is not that of the direct sum in abstract algebra.
See also: Schnirelmann density.