Introduces almost Poisson D-bialgebras with equivalences to matched pairs and Manin triples, defines almost tridendriform Poisson algebras, and proves embeddings of almost Poisson algebras into AWBs via averaging operators.
Aguiar, Pre-Poisson algebras,Lett
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$D$-bialgebras, dendrification and embeddings into AWB of almost Poisson algebras
Introduces almost Poisson D-bialgebras with equivalences to matched pairs and Manin triples, defines almost tridendriform Poisson algebras, and proves embeddings of almost Poisson algebras into AWBs via averaging operators.