50 citations · 63 across the 3 of their papers we have counts for
3 papers
math.RA2014★ 12 cited
Rota-Baxter type operators, rewriting systems and Gröbner-Shirshov bases
Xing Gao, Li Guo, William Y. Sit +1
In this paper we apply the methods of rewriting systems and Gröbner-Shirshov bases to give a unified approach to a class of linear operators on associative algebras. These operator…
math.RA2012★ 50 cited
Differential Type Operators and Gröbner-Shirshov Bases
Li Guo, William Y. Sit, Ronghua Zhang
A long standing problem of Gian-Carlo Rota for associative algebras is the classification of all linear operators that can be defined on them. In the 1970s, there were only a few k…
math.RA2006★ 1 cited
Enumeration of Rota-Baxter Words
Li Guo, William Y. Sit
In this paper, we prove results on enumerations of sets of Rota-Baxter words in a finite number of generators and a finite number of unary operators. Rota-Baxter words are words fo…