Infinite magmatic bialgebras

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dc.creatorBurgunder, Emily
dc.date2006-01-04
dc.date.accessioned2026-07-07T06:58:31Z
dc.date.available2026-07-07T06:58:31Z
dc.descriptionAn infinite magmatic bialgebra is a vector space endowed with an n-ary operation, and an n-ary cooperation, for each n, verifying some compatibility relations. We prove a rigidity theorem, analogue to the Hopf-Borel theorem for commutative bialgebras: any connected infinite magmatic bialgebra is of the form $Mag^\infty(Prim H)$, where $Mag^\infty(V)$ is the free infinite magmatic algebra over the vector space V.
dc.identifierhttps://arxiv.org/abs/math/0601068
dc.identifierhttp://arxiv.org/abs/math/0601068
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107386
dc.subjectRings and Algebras
dc.subject17A50; 18D50; 17Axx
dc.titleInfinite magmatic bialgebras
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