Addendum to “Structure Theorem for Multiple Addition” Original Research Article

In our earlier paper we gave a sharp lower-bound estimate for the cardinality ofhA=A+…+A(Abeing a finite set of integers). It appears that certain applications require this estimate to be generalized for the case of distinct summands. Below we obtain such a generalization by estimating the cardinality ofA1+…Ah(Aibeingdistinctfinite sets of integers).