Rota-Baxter Systems for BiHom-Type Algebras

Qiaoling Guo, Ling Liu, Jiafeng Lü, Bingliang Shen () and Xingting Wang
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Qiaoling Guo: Shanghai Technical Institute of Electronics & Information, Shanghai 201411, China
Ling Liu: Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
Jiafeng Lü: Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
Bingliang Shen: Zhejiang College, Shanghai University of Finance and Economics, Jinhua 321013, China
Xingting Wang: Department of Mathematics, Temple University, Philadelphia, PA 19122, USA

Mathematics, 2022, vol. 10, issue 18, 1-14

Abstract: The purpose of this paper is to study Rota–Baxter systems for BiHom-type algebras such as BiHom analogues of associative, dendriform, quadri algebras. It is shown that BiHom-dendriform structures of a particular kind are equivalent to Rota–Baxter systems. It is shown further that a Rota–Baxter system induces a weak BiHom-pseudotwistor which can be held responsible for the existence of a new product on the underlying BiHom-associative algebra. Moreover, we study the relationship between BiHom-quadri-algebras and Rota–Baxter systems for BiHom-dendriform algebras.

Keywords: Rota–Baxter system; BiHom-dendriform algebra; weak BiHom-pseudotwistor; BiHom-quadri-algebra (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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