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math.RA2023★ 1 cited
Generalized parallel paths method for computing the first Hochschild cohomology group with applications to Brauer graph algebras
Yuming Liu, Bohan Xing
We use algebraic Morse theory to generalize the parallel paths method for computing the first Hochschild cohomology groups. As an application, we describe and compare the Lie struc…
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…