26 citations · 72 across the 5 of their papers we have counts for
5 papers
Gröbner-Shirshov bases for metabelian Lie algebras
Yongshan Chen, Yuqun Chen
In this paper, we establish the Gröbner-Shirshov bases theory for metabelian Lie algebras. As applications, we find the Gröbner-Shirshov bases for partial commutative metabelian Li…
Gröbner-Shirshov bases for Lie algebras over a commutative algebra
L. A. Bokut, Yuqun Chen, Yongshan Chen
In this paper we establish a Gröbner-Shirshov bases theory for Lie algebras over commutative rings. As applications we give some new examples of special Lie algebras (those embedda…
Composition-Diamond lemma for differential algebras
Yuqun Chen, Yongshan Chen, Yu Li
In this paper, we establish the Composition-Diamond lemma for free differential algebras. As applications, we give Groebner-Shirshov bases for free Lie-differential algebra and fre…
Composition-Diamond Lemma for Tensor Product of Free Algebras
L. A. Bokut, Yuqun Chen, Yongshan Chen
In this paper, we establish Composition-Diamond lemma for tensor product of two free algebras over a field. As an application, we construct a Groebner-Shirsho…
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…