Infinite magmatic bialgebras
Rings and Algebras
2007-05-23 v1
Abstract
An 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 , where is the free infinite magmatic algebra over the vector space V.
Cite
@article{arxiv.math/0601068,
title = {Infinite magmatic bialgebras},
author = {Emily Burgunder},
journal= {arXiv preprint arXiv:math/0601068},
year = {2007}
}