9 citations · 27 across the 10 of their papers we have counts for
10 papers
Construction of free Lie Rota-Baxter superalgebra via Gröbner-Shirshov bases theory
Jianjun Qiu, Yuqun Chen
In this paper, we construct free Lie Rota-Baxter superalgebra by using Gröbner-Shirshov bases theory. We firstly construct free operated Lie superalgebras by the operated super-Lyn…
Free differential Lie Rota-Baxter algebras and Gröbner-Shirshov bases
Jianjun Qiu, Yuqun Chen
We establish the Gröbner-Shirshov bases theory for differential Lie -algebras. As an application, we give a linear basis of a free differential Lie Rota-Baxter algebra on a set.
Free Rota-Baxter systems and a Hopf algebra structure
Jianjun Qiu, Yuqun Chen
In this paper, we give a linear basis of a free Rota-Baxter system on a set by using the Gröbner-Shirshov bases method and then we obtain a left counital Hopf algebra structure on…
Gröbner-Shirshov bases for Lie -algebras and free Rota-Baxter Lie algebras
Jianjun Qiu, Yuqun Chen
In this paper, we generalize the Lyndon-Shirshov words to Lyndon-Shirshov -words on a set and prove that the set of all non-associative Lyndon-Shirshov -words forms a lin…
Extensions of associative and Lie algebras via Gröbner-Shirshov bases method
Yuqun Chen, Jianjun Qiu
Let be algebras over a field . Then is an extension of by if is an ideal of…
Gröbner-Shirshov basis for the finitely presented algebras defined by permutation relations of symmetric type
Jianjun Qiu, Yuqun Chen
In this paper, we give a Gröbner-Shirshov basis for the finitely presented semigroup algebra defined by permutation relations of symmetric type. As an appl…