Mathematics – Rings and Algebras
Scientific paper
2007-08-30
Homology, Homotopy Appl. 10 (2008), no.2, 59-81
Mathematics
Rings and Algebras
Revised version, after suggestions of the anonymous referee, 20 pages
Scientific paper
A partial magmatic bialgebra, (T;S)-magmatic bialgebra where T \subset S are
subsets of the set of positive integers, is a vector space endowed with an
n-ary operation for each n in S and an m-ary co-operation for each m in T
satisfying some compatibility and unitary relations. We prove an analogue of
the Poincar\'e-Birkhoff-Witt theorem for these partial magmatic bialgebras.
Burgunder Emily
Holtkamp Ralf
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