27 citations · 69 across the 13 of their papers we have counts for
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math.RA2019★ 1 cited
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…
math.RA2019
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…
math.GR2019
Free Products of digroups
Guangliang Zhang, Yuqun Chen, Zerui Zhang
We construct the free products of arbitrary digroups, and thus we solve an open problem of Zhuchok.