15 citations · 22 across the 7 of their papers we have counts for
7 papers
The Freiheitssatz and automorphisms for free brace algebras
Yu Li, Qiuhui Mo, Xiangui Zhao
Over a field of characteristic zero, we prove that the Freiheitssatz holds for brace algebras, the word problem for the brace algebras with a single defining relation is decidable,…
Groebner-Shirshov bases for brace algebras
Yu Li, Qiuhui Mo, Xiangui Zhao
Let be a brace algebra. This structure implies that is also a pre-Lie algebra. In this paper, we establish Composition-Diamond lemma for brace algebras. Using this Composit…
Gröbner-Shirshov bases for semirings
L. A. Bokut, Yuqun Chen, Qiuhui Mo
In the paper, we establish Gröbner-Shirshov bases for semirings and commutative semirings. As applications, we obtain Gröbner-Shirshov bases and A. Blass's (1995) and M. Fiore -T.…
Gröbner-Shirshov bases for free partially commutative Lie algebras
Yuqun Chen, Qiuhui Mo
In this paper, by using Composition-Diamond lemma for Lie algebras, we give a Gröbner-Shirshov basis for free partially commutative Lie algebra over a commutative ring with unit. A…
Embedding dendriform dialgebra into its universal enveloping Rota-Baxter algebra
Yuqun Chen, Qiuhui Mo
In this paper, by using Gröbner-Shirshov bases for Rota-Baxter algebras, we prove that every dendriform dialgebra over a field of characteristic 0 can be embedded into its universa…
Gröbner-Shirshov bases and embeddings of algebras
L. A. Bokut, Yuqun Chen, Qiuhui Mo
In this paper, by using Gröbner-Shirshov bases, we show that in the following classes, each (resp. countably generated) algebra can be embedded into a simple (resp. two-generated)…
A note on Artin-Markov normal form theorem for braid groups
Yuqun Chen, Qiuhui Mo
In a recent paper by L. A. Bokut, V. V. Chaynikov and K. P. Shum in 2007, Braid group is represented by Artin-Burau's relations. For such a representation, it is told that al…