Geodesic
Partial magmatic bialgebras
Homology, homotopy, and applications, Tome 10 (2008) no. 2, pp. 59-81.

Voir la notice de l'article provenant de la source International Press of Boston

A partial magmatic bialgebra, or $(T; S)$-magmatic bialgebra, where $T ⊂ S$ are subsets of $\mathbb{N} _{\geq 2}$, is a vector space endowed with an $n$-ary operation for each $n ∈ S$ and an $m$-ary co-operation for each $m ∈ T$ satisfying some compatibility and unitary relations. We prove an analogue of the Poincaré-Birkhoff-Witt theorem for these partial magmatic bialgebras.
DOI : 10.4310/HHA.2008.v10.n2.a3
Classification : 18D50
Keywords: generalized bialgebra, Hopf algebra, Cartier-Milnor-Moore theorem, Poincaré-Birkhoff-Witt theorem, operad, magma, non-associative algebra 
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Emily Burgunder; Ralf Holtkamp. Partial magmatic bialgebras. Homology, homotopy, and applications, Tome 10 (2008) no. 2, pp. 59-81. doi : 10.4310/HHA.2008.v10.n2.a3. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2008.v10.n2.a3/

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