Nonhomogeneous associative Yang-Baxter equations
Rings and Algebras
2023-01-12 v1
Abstract
We introduce the notion of associative (BiHom-)Yang-Baxter pair of weight which can provide the solution to the double curved Rota-Baxter (BiHom-)system. Equivalent characterizations of (quasitriangular) covariant BiHom-bialgebra are given. We also prove that associative BiHom-Yang-Baxter equation of weight can be obtained by the unitary quasitriangular covariant BiHom-bialgebra. At last, we present two approaches to construct (BiHom-)pre-Lie modules from Rota-Baxter (BiHom-)paired modules.
Keywords
Cite
@article{arxiv.2111.00371,
title = {Nonhomogeneous associative Yang-Baxter equations},
author = {Tianshui Ma and Jie Li},
journal= {arXiv preprint arXiv:2111.00371},
year = {2023}
}