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math.RA2026
Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras
Hui Hu, Yizhen Li, Guilai Liu +1
In this paper, we develop a bialgebra theory for diassociative algebras. Inspired by the notion of a quadratic diassociative algebra, we introduce the concept of a Manin triple of…
math.RA2026
Para-differential Rota-Baxter algebras and their free objects by Gröbner-Shirshov bases
Li Guo, Aniruddha Talele, Shilong Zhang +1
The algebraic formulation of the derivation and integration related by the First Fundamental Theorem of Calculus (FFTC) gives rise to the notion of differential Rota-Baxter algebra…