Small cancellation rings are non-amenable
Agatha Atkarskaya
TL;DR
This paper proves that certain small cancellation rings are non-amenable and contain free associative algebras, revealing new structural properties of these algebraic objects.
Contribution
It introduces conditions under which small cancellation rings are non-amenable and contain free associative subalgebras, advancing understanding of their algebraic structure.
Findings
Small cancellation rings are non-amenable.
Such rings contain non-commutative free associative algebras.
Provides conditions for non-amenability in these rings.
Abstract
In this paper we prove that small cancellation rings under some natural restrictions are non-amenable and contain non-commutative free associative algebra.
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Taxonomy
TopicsAdvanced Topics in Algebra · Rings, Modules, and Algebras · Advanced Algebra and Logic