Rota-Baxter Systems for BiHom-Type Algebras

作者：Guo, Qiaoling; Liu, Ling; Lu, Jiafeng; Shen, Bingliang^*; Wang, Xingting

来源：Mathematics, 2022, 10(18): 3222.

DOI：10.3390/math10183222

• Rota-Baxter system
• BiHom-dendriform algebra
• weak BiHom-pseudotwistor
• BiHom-quadri-algebra

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.

• 单位
  浙江师范大学