Cohn path algebras have Invariant Basis Number

Abstract

For any finite directed graph $E$ and any field $K$ we show that the Cohn path algebra $C_K(E)$ has the Invariant Basis Number property.

11 pages; updated October 2013; some minor style changes from original March 2013 version; new observation that Cohn path algebras have Invariant Matrix Number as well

References in corpus (1)

• Simple Lie algebras arising from Leavitt path algebras

Cited by in corpus (4)

• Cohn-Leavitt Path Algebras and the Invariant Basis Number Property
• A1-homotopy invariants of corner skew Laurent polynomial algebras
• Leavitt path algebras: the first decade
• On Reflection Representations of Coxeter Groups over Non-Commutative Rings