2 papers
math.RA2018
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,…
math.RA2017
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…