Rota-Baxter bisystems and covariant bialgebras
Rings and Algebras
2017-10-17 v1
Abstract
The aim of this paper is first to introduce and study Rota-Baxter cosystems and bisystems as generalization of Rota-Baxter coalgebras and bialgebras, respectively, with various examples. The second purpose is to provide an alternative definition of covariant bialgebras via coderivations. Furthermore, we consider coquasitriangular covariant bialgebras which are generalization of coquasitriangular infinitesimal bialgebras, coassociative Yang-Baxter pairs, coassociative Yang-Baxter equation, double coalgebras and dendriform coalgebras. We study some of their properties and relationships with Rota-Baxter cosystems and bisystems.
Cite
@article{arxiv.1710.05161,
title = {Rota-Baxter bisystems and covariant bialgebras},
author = {Tianshui Ma and Abdenacer Makhlouf and Sergei Silvestrov},
journal= {arXiv preprint arXiv:1710.05161},
year = {2017}
}
Comments
30 pages