Partial magmatic bialgebras
Rings and Algebras
2008-07-25 v2 Combinatorics
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 Poincar\'e-Birkhoff-Witt theorem for these partial magmatic bialgebras.
Cite
@article{arxiv.0708.4191,
title = {Partial magmatic bialgebras},
author = {Emily Burgunder and Ralf Holtkamp},
journal= {arXiv preprint arXiv:0708.4191},
year = {2008}
}
Comments
Revised version, after suggestions of the anonymous referee, 20 pages