1 citations · 3 across the 6 of their papers we have counts for
6 papers · 1 filter
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…
Lie nilpotent Novikov algebras and Lie solvable Leavitt path algebras
Zerui Zhang, Tran Giang Nam
In this paper, we first study properties of the lower central chains for Novikov algebras. Then we show that for every Lie nilpotent Novikov algebra~, the ideal of~$\m…
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…
No dialgebra has Gelfand-Kirillov dimension strictly between 1 and 2
Zerui Zhang, Yuqun Chen, Bing Yu
The Gelfand-Kirillov dimension measures the asymptotic growth rate of algebras. For every associative dialgebra , the quotient $\mathcal{A}_\mathcal{D}:=\mathcal{D}/\m…
On formulas and some combinatorial properties of Schubert Polynomials
Zerui Zhang, Yuqun Chen
By applying a Gröbner-Shirshov basis of the symmetric group , we give two formulas for Schubert polynomials, either of which involves only nonnegative monomials. We also pro…