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.

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