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math.GR2025
Matched pairs of Lie algebras and Rota-Baxter Lie algebras
Shukun Wang
In this paper, we investigate the relationship between matched pairs of Lie algebras and Rota-Baxter Lie algebras. First, we show that every Rota-Baxter Lie algebra $(\mathfrak{g},…
math.GR2023★ 1 cited
Twisted Post-Groups and Skew Trusses
Shukun Wang
To understand the origin of post-groups introduced by Bai, Guo, Sheng, and Tang from the perspective of rings, we introduce the notion of (weak) twisted post-groups. First, we show…
math.GR2022
Rota-Baxter systems and skew trusses
Zhonghua LI, Shukun Wang
As a generalization of skew braces, the notion of skew trusses was introduced by T. Brzezinski. It was shown that every Rota-Baxter group has the structure of skew braces by V. G.…