Rota–Baxter Hom-Lie–Admissible Algebras

By Abdenacer Makhlouf, Donald Yau. 2011

66 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/4b6acc1e8b6a29772ce2c13c3bb03d2c8348890c