Generalized Regularity Conditions for Leavitt Path Algebras over Arbitrary Graphs

DOI10.1080/00927872.2012.714026zbMath1294.16004OpenAlexW2008829171MaRDI QIDQ5409786

Gonzalo Aranda Pino, Mercedes Siles Molina, Kulumani M. Rangaswamy

Publication date: 14 April 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.714026

zbMATH Keywords

exchange ringscondition (K)self-injective Leavitt path algebrasweakly regular algebrasgeneralized regularity conditionsregular Leavitt path algebras

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) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Representations of quivers and partially ordered sets (16G20) Ideals in associative algebras (16D25) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (2)

On simple modules over Leavitt path algebras. ⋮ Ideals in graph algebras

Cites Work

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• Weakly regular and self-injective Leavitt path algebras over arbitrary graphs.
• Exchange Leavitt path algebras and stable rank
• Regularity conditions for arbitrary Leavitt path algebras.
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• Uniqueness theorems and ideal structure for Leavitt path algebras
• The Leavitt path algebra of a graph.
• Row-finite equivalents exist only for row-countable graphs
• TWO-SIDED IDEALS IN LEAVITT PATH ALGEBRAS
• Stabe rank of graph algebras: Type I graph algebras and their limits
• Stable rank of Leavitt path algebras
• Right fully idempotent rings need not be left fully idempotent
• Homological properties of the ring of differential polynomials
• Weakly Regular Rings

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