2 papers
math.RA2021
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…
math.RA2020
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…