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math.RA2021★ 1 cited
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…
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…