New Hopf algebras are constructed from restriction species equipped with pairs of natural transformations to the species of preorders, yielding quotients of the Malvenuto-Reutenauer algebra and structures from parking filtrations and preorders.
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Combinatorial Hopf algebras from restriction species with preorder cuts
New Hopf algebras are constructed from restriction species equipped with pairs of natural transformations to the species of preorders, yielding quotients of the Malvenuto-Reutenauer algebra and structures from parking filtrations and preorders.