2 papers
math.RA2024
Extended Rota-Baxter algebras, diagonally colored Delannoy paths and Hopf algebras
Shanghua Zheng, Li Guo, Huizhen Qiu
The Rota-Baxter operator and the modified Rota-Baxter operator on various algebras are both important in mathematics and mathematical physics. The former is originated from the int…
math.RA2023
Construction of free quasi-idempotent differential Rota-Baxter algebras by Gröbner-Shirshov bases
Huizhen Qiu, Shanghua Zheng, Yangfan Dan
Differential operators and integral operators are linked together by the first fundamental theorem of calculus. Based on this principle, the notion of a differential Rota-Baxter al…