Partial magmatic bialgebras

Emily Burgunder; Ralf Holtkamp

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arXiv · 0708.4191

Partial magmatic bialgebras

Emily Burgunder·Ralf Holtkamp

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Abstract

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 Poincaré-Birkhoff-Witt theorem for these partial magmatic bialgebras.

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Emily Burgunder, Ralf Holtkamp. 2008-04-10. Partial magmatic bialgebras. https://arxiv.org/abs/0708.4191

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