Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4596350 | Journal of Pure and Applied Algebra | 2015 | 16 Pages |
Abstract
J.-L. Loday has defined generalised bialgebras and proved structure theorems in this setting which can be seen as general forms of the Poincaré-Birkhoff-Witt and the Cartier-Milnor-Moore theorems. It was observed by the present authors that parts of the theory of generalised bialgebras are special cases of results on entwined monads and comonads and the corresponding mixed bimodules. In this article the Rigidity Theorem of J.-L. Loday is extended to this more general categorical framework.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Muriel Livernet, Bachuki Mesablishvili, Robert Wisbauer,