论文标题
HOM缔合代数和协变量的Hom-Bialgebras上的Rota-Baxter系统
Rota-Baxter systems on Hom-associative algebras and covariant Hom-bialgebras
论文作者
论文摘要
Brzeziński引入了Rota-baxter系统，作为与树突状结构，联想杨手机对和协变量的Bialgebras相关的Rota-baxter操作员的概括。在本文中，我们在HOM缔约代数上定义了Rota-Baxter系统，并展示了它们如何在基本的HOM缔约性代数上诱导HOM Dendriorder结构和弱假胞源。我们介绍了Hom-Yang-Baxter对和协变量的Hom-Bialgebra概念。给定一对霍姆 - 巴克斯特对，我们构建了一个扭曲的旋转式式驱动器系统和一个（quasitriangular）协变量的hom-bialgebra。最后，我们考虑在协方差中的共同生物中扰动。
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.
