12 citations · 119 across the 39 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.RA2021★ 3 cited
Rota's program on algebraic operators, rewriting systems and Gröbner-Shirshov bases
Xing Gao, Li Guo, Huhu Zhang
Many years ago, Rota proposed a program on determining algebraic identities that can be satisfied by linear operators. After an extended period of dormant, progress on this program…
math.RA2021
Free weighted (modified) differential algebras, free (modified) Rota-Baxter algebras and Gröbner-Shirshov bases
Zhicheng Zhu, Huhu Zhang, Xing Gao
In this paper, we obtain respectively some new linear bases of free unitary (modified) weighted differential algebras and free nonunitary (modified) Rota-Baxter algebras, in terms…
math.CT2021
Compatible structures on unary binary nonsymmetric operads with quadratic and cubic relations
Xing Gao, Li Guo, Huhu Zhang
Various compatibility conditions among replicated copies of operations in a given algebraic structure have appeared in broad contexts in recent years. Taking an uniform approach, t…