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math.RA2023
Free weighted differential (-tri)dendriform algebras
Yuanyuan Zhang, Huhu Zhang, Tingzeng Wu +1
In the present paper, we propose the concepts of weighted differential (-tri)dendriform algebras and give some basic properties of them. The corresponding free objects are const…
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…
math.RA2023
Rota-Baxter family -associative conformal algebras and their cohomology theory
Yuanyuan Zhang, Jun Zhao, Genqiang Liu
In this paper, we first propose the concept of Rota-Baxter family -associative conformal algebras, then we study the cohomology theory of Rota-Baxter family -associative conf…