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math.RA2026
Inner post-Lie algebras and inner post-groups
V. Gubarev, Y. Li, Y. Sheng +1
In this paper, using extension theory and cohomological approach we introduce the notion of the obstruction class for an inner post-Lie algebra being induced by a Rota-Baxter opera…
math.RA2025
Quasi-triangular and factorizable dendriform D-bialgebras
You Wang
In this paper, we introduce the notions of quasi-triangular and factorizable dendriform D-bialgebras. A factorizable dendriform D-bialgebra leads to a factorization of the underlyi…
math.RA2025
Zinbiel bialgebras, relative Rota-Baxter operators and the related Yang-Baxter Equation
You Wang
In this paper, we first introduce the notion of a Zinbiel bialgebra and show that Zinbiel bialgebras, matched pairs of Zinbiel algebras and Manin triples of Zinbiel algebras are eq…