2020/07/12 by Das, Apurba
#16T10 #17B38 #17B61 #FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2007.06053
Rota-Baxter systems were introduced by Brzeziński as a generalization of Rota-Baxter operators that are related to dendriform structures, associative Yang-Baxter pairs and covariant bialgebras. In this paper, we define Rota-Baxter systems on Hom-associative algebras and show how they induce Hom-dendriform structures and weak pseudotwistors on the underlying Hom-associative algebra. We introduce Hom-Yang-Baxter pairs and a notion of covariant Hom-bialgebra. Given a Hom-Yang-Baxter pair, we construct a twisted Rota-Baxter system and a (quasitriangular) covariant Hom-bialgebra. Finally, we consider perturbations of the coproduct in a covariant Hom-bialgebra.