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math.RA2022
-structures and cohomology theory of compatible -operators and compatible dendriform algebras
Apurba Das, Shuangjian Guo, Yufei Qin
The notion of -operator is a generalization of the Rota-Baxter operator in the presence of a bimodule over an associative algebra. A compatible -operator…
math.RA2022★ 3 cited
Cohomology theory of Rota-Baxter pre-Lie algebras of arbitrary weights
Shuangjian Guo, Yufei Qin, Kai Wang +1
This paper is devoted to studying deformation, cohomology theory of Rota-Baxter pre-Lie algebras of arbitrary weights. First we give the notion of a new representation of a Rota-Ba…
math.KT2022★ 11 cited
Deformations and cohomology theory of Rota-Baxter -Lie algebras of arbitrary weights
Shuangjian Guo, Yufei Qin, Kai Wang +1
A cohomology theory of weighted Rota-Baxter -Lie algebras is introduced. Formal deformations, abelian extensions, skeletal weighted Rota-Baxter -Lie 2-algebras and crossed mo…