The authors determine for which b the substitution b ∘ p forms a Hopf monoid when p is a positive comonoid, and examine the resulting structures and their properties.
Coalgebras and bialgebras in com- binatorics
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Hopf substitutions in Species
The authors determine for which b the substitution b ∘ p forms a Hopf monoid when p is a positive comonoid, and examine the resulting structures and their properties.