10 citations · 16 across the 4 of their papers we have counts for
4 papers
Gröbner-Shirshov bases for braid groups in Adyan-Thurston generators
Yuqun Chen, Chanyan Zhong
In this paper, we give a Gröbner-Shirshov basis of the braid group in Adyan-Thurston generators. We also deal with the braid group of type . As results, we ob…
Groebner-Shirshov bases for some one-relator groups
Yuqun Chen, Chanyan Zhong
In this paper, we prove that two-generator one-relator groups with depth less than or equal to 3 can be effectively embedded into a tower of HNN-extensions in which each group has…
Composition-Diamond Lemma for Modules
Yuqun Chen, Yongshan Chen, Chanyan Zhong
In this paper we give some relationships among the Groebner-Shirshov bases in free associative algebras, free left modules and "double-free" left modules (free modules over a free…
Groebner-Shirshov basis for HNN extensions of groups and for the alternating group
Yuqun Chen, Chanyan Zhong
In this paper, we generalize the Shirshov's Composition Lemma by replacing the monomial order for others. By using Groebner-Shirshov bases, the normal forms of HNN extension of a g…