12 citations · 119 across the 39 of their papers we have counts for
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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.RA2014★ 2 cited
Free integro-differential algebras and Gröbner-Shirshov bases
Xing Gao, Li Guo, Markus Rosenkranz
The notion of commutative integro-differential algebra was introduced for the algebraic study of boundary problems for linear ordinary differential equations. Its noncommutative an…
math.RA2014★ 2 cited
Constructions of free commutative integro-differential algebras
Xing Gao, Li Guo
In this survey, we outline two recent constructions of free commutative integro-differential algebras. They are based on the construction of free commutative Rota-Baxter algebras b…