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Rota-Baxter Systems for BiHom-Type Algebras
Guo, Qiaoling Liu, Ling Lü, Jiafeng Shen, Bingliang
Guo, Qiaoling
Liu, Ling
Lü, Jiafeng
Shen, Bingliang
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Journal article
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2022-09-06
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Mathematics
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http://dx.doi.org/10.3390/math10183222
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.
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Guo, Q.; Liu, L.; Lü, J.; Shen, B.; Wang, X. Rota-Baxter Systems for BiHom-Type Algebras. Mathematics 2022, 10, 3222. https://doi.org/10.3390/math10183222
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Mathematics, Vol. 10, Iss. 18
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