Rota-Baxter Hom-Lie-admissible algebras

Abstract

We study Hom-type analogs of Rota-Baxter and dendriform algebras, called Rota-Baxter $G$-Hom-associative algebras and Hom-dendriform algebras. Several construction results are proved. Free algebras for these objects are explicitly constructed. Various functors between these categories, as well as an adjunction between the categories of Rota-Baxter Hom-associative algebras and of Hom-(tri)dendriform algebras, are constructed.

25 pages

References in corpus (3)

• Loday-type Algebras and the Rota-Baxter Relation
• Splitting of operations, Manin products and Rota-Baxter operators
• Deformations of Hom-Alternative and Hom-Malcev algebras