Small cancellation rings are non-amenable
Rings and Algebras
2023-11-07 v3
Abstract
In this paper we prove that small cancellation rings under some natural restrictions are non-amenable and contain non-commutative free associative algebra.
Cite
@article{arxiv.2210.13303,
title = {Small cancellation rings are non-amenable},
author = {Agatha Atkarskaya},
journal= {arXiv preprint arXiv:2210.13303},
year = {2023}
}
Comments
Added references, revised argument in section 5, in general the results unchanged, the technical constants are changed