Weakly regular and self-injective Leavitt path algebras over arbitrary graphs.

DOI10.1007/S10468-010-9215-9zbMath1252.16009arXiv1405.3193OpenAlexW1964489672MaRDI QIDQ434429

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

Publication date: 10 July 2012

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.3193

zbMATH Keywords

exchange ringsline pointscondition (K)local unitsself-injective Leavitt path algebrasweakly regular Leavitt path algebras

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) 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) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Leavitt path algebras (16S88)

Related Items (15)

TWO-SIDED CHAIN CONDITIONS IN LEAVITT PATH ALGEBRAS OVER ARBITRARY GRAPHS ⋮ Leavitt path algebras: graded direct-finiteness and graded \(\Sigma\)-injective simple modules ⋮ EVERY GRADED IDEAL OF A LEAVITT PATH ALGEBRA IS GRADED ISOMORPHIC TO A LEAVITT PATH ALGEBRA ⋮ Graded modules over object-unital groupoid graded rings ⋮ Compact graph \(C^\ast\)-algebras ⋮ Leavitt path algebras with finitely presented irreducible representations. ⋮ On graded irreducible representations of Leavitt path algebras. ⋮ Simple flat Leavitt path algebras are von Neumann regular ⋮ A Survey of Some of the Recent Developments in Leavitt Path Algebras ⋮ Endomorphism rings of Leavitt path algebras. ⋮ On graded primitive Leavitt path algebras ⋮ Generalized Regularity Conditions for Leavitt Path Algebras over Arbitrary Graphs ⋮ Atlas of Leavitt path algebras of small graphs ⋮ Ideals in graph algebras ⋮ Prüfer modules over Leavitt path algebras

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