  We study a variant of the semi-stable Cohomological Hall algebra which we
construct using equivariant Chow groups. This algebra, we call it the
semi-stable ChowHa, arises as a quotient of the CoHa. Smooth models of quiver
moduli give rise to modules over the semi-stable ChowHa. We prove that these
modules are cyclic and we compute a presentation using Harder-Narasimhan
methods.
