Cohn Path Algebras have Invariant Basis Number

DOI10.1080/00927872.2014.982812zbMath1354.16032arXiv1303.2122OpenAlexW1876416284MaRDI QIDQ2802193

Müge Kanuni, Gene D. Abrams

Publication date: 25 April 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2122

zbMATH Keywords

invariant basis numberLeavitt path algebraCohn path algebra

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Associative rings and algebras arising under various constructions (16S99)

Related Items

Leavitt path algebras with bases consisting solely of units ⋮ Cohn–Leavitt path algebras and the invariant basis number property ⋮ Leavitt path algebras having unbounded generating number ⋮ Cohn path algebras of higher-rank graphs ⋮ The structure of Leavitt path algebras and the invariant basis number property ⋮ Representations of Leavitt path algebras ⋮ Leavitt path algebras: the first decade

Cites Work

• The matrix type of purely infinite simple Leavitt path algebras.
• Simple Lie algebras arising from Leavitt path algebras.
• Nonstable \(K\)-theory for graph algebras.
• The Leavitt path algebra of a graph.

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