We prove that any set-theoretic solution of the Yang-Baxter equation
associated to a dual weak brace is a strong semilattice of non-degenerate
bijective solutions. This fact makes use of the description of any dual weak
brace S we provide in terms of strong semilattice Y of skew braces
Bα​, with α∈Y. Additionally, we describe the ideals of S
and study its nilpotency by correlating it to that of each skew brace
Bα​