We focus on quiver Yangians for most generalized conifolds. We construct a
coproduct of the quiver Yangian following the similar approach by
Guay-Nakajima-Wendlandt. We also prove that the quiver Yangians related by
Seiberg duality are indeed isomorphic. Then we discuss their connections to
$\mathcal{W}$-algebras analogous to the study by Ueda. In particular, the
universal enveloping algebras of the $\mathcal{W}$-algebras are truncations of
the quiver Yangians, and therefore they naturally have truncated crystals as
their representations.
