7 citations · 7 across the 3 of their papers we have counts for
3 papers
math.RA2021
Hopf algebra structure on free Rota-Baxter algebras by angularly decorated rooted trees
Xigou Zhang, Anqi Xu, Li Guo
By means of a new notion of subforests of an angularly decorated rooted forest, we give a combinatorial construction of a coproduct on the free Rota-Baxter algebra on angularly dec…
math.RA2019★ 7 cited
Free modified Rota-Baxter algebras and Hopf algebras
Xigou Zhang, Xing Gao, Li Guo
The notion of a modified Rota-Baxter algebra comes from the combination of those of a Rota-Baxter algebra and a modified Yang-Baxter equation. In this paper, we first construct fre…
math.RA2018
Commutative modified Rota-Baxter algebras, shuffle products and Hopf algebras
Xigou Zhang, Xing Gao, Li Guo
In this paper, we begin a systematic study of modified Rota-Baxter algebras, as an associative analogue of the modified classical Yang-Baxter equation. We construct free commutativ…