Extensions of simple modules over Leavitt path algebras.

DOI10.1016/j.jalgebra.2015.01.034zbMath1319.16005arXiv1408.3580OpenAlexW2962736295MaRDI QIDQ2344835

Francesca Mantese, Alberto Tonolo, Gene D. Abrams

Publication date: 18 May 2015

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

Full work available at URL: https://arxiv.org/abs/1408.3580

zbMATH Keywords

projective resolutionsLeavitt path algebrasChen simple modules

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Representations of quivers and partially ordered sets (16G20) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Leavitt path algebras (16S88)

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Cites Work

• Finitely presented simple modules over Leavitt path algebras.
• Irreducible representations of Leavitt path algebras.
• Socle theory for Leavitt path algebras of arbitrary graphs.
• Nonstable \(K\)-theory for graph algebras.
• The Leavitt path algebra of a graph.
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