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math.RA2022
Deformations and Cohomology Theory of Rota-Baxter Systems
Yuming Liu, Kai Wang, Liwen Yin
Inspired by the work of Wang and Zhou [4] for Rota-Baxter algebras, we develop a cohomology theory of Rota-Baxter systems and justify it by interpreting the lower degree cohomology…
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…