The Freiheitssatz and automorphisms for free brace algebras
Rings and Algebras
2018-10-02 v1
Abstract
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, two generated subalgebras of free brace algebras are free, and that automorphisms of two generated free brace algebras are tame.
Keywords
Cite
@article{arxiv.1810.00519,
title = {The Freiheitssatz and automorphisms for free brace algebras},
author = {Yu Li and Qiuhui Mo and Xiangui Zhao},
journal= {arXiv preprint arXiv:1810.00519},
year = {2018}
}