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arXiv · 1703.07275

Rota-Baxter operators on BiHom-associative algebras and related structures

Ling Liu·Abdenacer Makhlouf·Claudia Menini·Florin Panaite
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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.

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Ling Liu, Abdenacer Makhlouf, Claudia Menini, Florin Panaite. 2017-03-21. Rota-Baxter operators on BiHom-associative algebras and related structures. https://arxiv.org/abs/1703.07275

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