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arXiv · 1108.2415

Rota-Baxter Hom-Lie-admissible algebras

Abdenacer Makhlouf·Donald Yau
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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.

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Abdenacer Makhlouf, Donald Yau. 2011-08-11. Rota-Baxter Hom-Lie-admissible algebras. https://arxiv.org/abs/1108.2415

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