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- Title
Rota-Baxter Systems for BiHom-Type Algebras.
- Authors
Guo, Qiaoling; Liu, Ling; Lü, Jiafeng; Shen, Bingliang; Wang, Xingting
- 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.
- Publication
Mathematics (2227-7390), 2022, Vol 10, Issue 18, p3222
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math10183222