2 papers
math.RA2025
Polygraphic resolutions for operated algebras
Zuan Liu, Philippe Malbos
This paper introduces the structure of operated polygraphs as a categorical model for rewriting in operated algebras, generalizing Gröbner-Shirshov bases with non-monomial terminat…
math.RA2023
Gröbner-Shirshov bases and linear bases for free multi-operated algebras over algebras with applications to differential Rota-Baxter algebras and integro-differential algebras
Zuan Liu, Zihao Qi, Yufei Qin +1
Quite much recent studies has been attracted to the operated algebra since it unifies various notions such as the differential algebra and the Rota-Baxter algebra. An -operated…