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math.CT2019
Monadic vs Adjoint Decomposition
Alessandro Ardizzoni, Claudia Menini
It is known that the so-called monadic decomposition, applied to the adjunction connecting the category of bialgebras to the category of vector spaces via the tensor and the primit…
math.QA2019
BiHom-Novikov algebras and infinitesimal BiHom-bialgebras
Ling Liu, Abdenacer Makhlouf, Claudia Menini +1
We introduce and study infinitesimal BiHom-bialgebras, BiHom-Novikov algebras, BiHom-Novikov-Poisson algebras, and find some relations among these concepts. Our main result is to s…