Rota-Baxter operators on BiHom-associative algebras and related structures
Quantum Algebra
2019-03-19 v3
Abstract
The purpose of this paper is to study Rota-Baxter operators for BiHom-associative algebras. Moreover, we introduce and discuss the properties of the notions of BiHom-(tri)dendriform algebra, BiHom-Zinbiel algebra and BiHom-quadri-algebra. We construct the free Rota-Baxter BiHom-associative algebra and present some observations about categories and functors related to Rota-Baxter structures.
Keywords
Cite
@article{arxiv.1703.07275,
title = {Rota-Baxter operators on BiHom-associative algebras and related structures},
author = {Ling Liu and Abdenacer Makhlouf and Claudia Menini and Florin Panaite},
journal= {arXiv preprint arXiv:1703.07275},
year = {2019}
}
Comments
27 pages. The title has been changed, the part about BiHom-Lie algebras has been removed and will appear as a separate article. In v3 we added some things about BiHom-Zinbiel algebras