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math.RA2024
Cohomology theory of Rota-Baxter family BiHom--associative algebras
Jiaqi Liu, Chao Song, Yuanyuan Zhang
In this paper, we first introduce the concept of Rota-Baxter family BiHom--associative algebras, then we define the cochain complex of BiHom--associative algebras and verify…
math.RA2023
Deformations and cohomology theory of -family Rota-Baxter algebras of arbitrary weight
Chao Song, Kai Wang, Yuanyuan Zhang
In this paper, we firstly construct an -algebra via the method of higher derived brackets, whose Maurer-Cartan elements correspond to relative -family Rota-Baxter a…