81 citations · 453 across the 60 of their papers we have counts for
61 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 Products of Trialgebras
Juwei Huang, Yuqun Chen, Zerui Zhang
We apply the method of Gröbner-Shirshov bases for replicated algebras developed by Kolesnikov to offer a general approach for constructing free products of trialgebrs (resp. trioid…
Gelfand-Kirillov dimension of bicommutative algebras
Yuxiu Bai, Yuqun Chen, Zerui Zhang
We first offer a fast method for calculating the Gelfand-Kirillov dimension of a finitely presented commutative algebra by investigating certain finite set. Then we establish a Gro…
Gröbner-Shirshov bases theory and extensions of Leibniz superalgebras
Yuxiu Bai, Yuqun Chen
In this paper, we elaborate Gröbner-Shirshov bases method for Leibniz (super)algebras. We show that there is a unique reduced Gröbner-Shirshov basis for every (graded) ideal of a f…
Gröbner--Shirshov bases for commutative dialgebras
Yuqun Chen, Guangliang Zhang
We establish Gröbner--Shirshov bases theory for commutative dialgebras. We show that for any ideal of , has a unique reduced Gröbner--Shirshov basis, where i…
Word problem for finitely presented metabelian Poisson algebras
Zerui Zhang, Yuqun Chen, L. A. Bokut
We first construct a linear basis for a free metabelian Poisson algebra generated by an arbitrary well-ordered set. It turns out that such a linear basis depends on the characteris…