A partial magmatic bialgebra, or (T; S)-magmatic bialgebra, where T ⊂ S are subsets of N ≥ 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.
Homology, Homotopy and Applications, Vol. 10 (2008), No. 2, pp.59-81.
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