Rota-Baxter Hom-Lie-admissible algebras

Details Rota-Baxter Hom-Lie-admissible algebras Rota-Baxter Hom-Lie-admissible algebras

2011-08-11

arxiv.org/abs/1108.2415v1

Mathematics

Rings and Algebras

25 pages

Scientific paper

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.

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