27 citations · 69 across the 13 of their papers we have counts for
13 papers
Transposed Poisson structures on Galilean and solvable Lie algebras
Ivan Kaygorodov, Viktor Lopatkin, Zerui Zhang
Transposed Poisson structures on complex Galilean type Lie algebras and superalgebras are described. It was proven that all principal Galilean Lie algebras do not have non-trivial…
Products of commutator ideals of some Lie-admissible algebras
Ivan Kaygorodov, Farukh Mashurov, Tran Giang Nam +1
In this article, we mainly study the products of commutator ideals of Lie-admissible algebras such as Novikov algebras, bicommutative algebras, and assosymmetric algebras. More pre…
Operads with trivial -actions
Yu Li, Zihao Qi, Yongjun Xu +3
We study operads with trivial -actions and prove an equivalence between the category of -trivial operads and that of pseudo-graded-Perm associative algebras…
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…