12 citations · 54 across the 18 of their papers we have counts for
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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…
Free involutive Hom-semigroups and Hom-associative algebras
Li Guo, Shanghua Zheng
In this paper we construct free Hom-semigroups when its unary operation is multiplicative and is an involution. Our method of construction is by bracketed words. As a consequence,…
Rota-Baxter operators on the polynomial algebras, integration and averaging operators
Li Guo, Markus Rosenkranz, Shanghua Zheng
Rota-Baxter operators are an algebraic abstraction of integration. Following this classical connection, we study the relationship between Rota-Baxter operators and integrals in the…
Classification of Rota-Baxter operators on semigroup algebras of order two and three
Li Guo, Markus Rosenkranz, Shanghua Zheng
In this paper we determine all the Rota-Baxter operators of weight zero on semigroup algebras of order two and three with the help of computer algebra. We determine the matrices fo…
Relative locations of subwords in free operated semigroups and Motzkin words
Li Guo, Shanghua Zheng
Bracketed words are basic structures both in mathematics (such as Rota-Baxter algebras) and mathematical physics (such as rooted trees) where the locations of the substructures are…