Leavitt path algebras with at most countably many irreducible representations.

DOI10.4171/RMI/868zbMath1335.16004arXiv1309.7917OpenAlexW2963582412MaRDI QIDQ2633984

Pere Ara, Kulumani M. Rangaswamy

Publication date: 5 February 2016

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.7917

zbMATH Keywords

irreducible representationsdirected graphsvon Neumann regular ringssocleLeavitt path algebrassimple left modulescountable irreducible representation type

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) 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) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Leavitt path algebras (16S88)

Related Items (9)

Finitely presented simple modules over Leavitt path algebras. ⋮ On simple modules over Leavitt path algebras. ⋮ A Survey of Some of the Recent Developments in Leavitt Path Algebras ⋮ Ideals of Steinberg algebras of strongly effective groupoids, with applications to Leavitt path algebras ⋮ A classification of ideals in Steinberg and Leavitt path algebras over arbitrary rings ⋮ Graded Steinberg algebras and their representations ⋮ Representations and the reduction theorem for ultragraph Leavitt path algebras ⋮ Irreducible and permutative representations of ultragraph Leavitt path algebras ⋮ Leavitt path algebras: the first decade

Cites Work

• Finite-dimensional Leavitt path algebras.
• Leavitt path algebras
• The Leavitt path algebra of a graph.
• On prime nonprimitive von Neumann regular algebras

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