Exchange Leavitt path algebras and stable rank

DOI10.1016/j.jalgebra.2005.12.009zbMath1108.46038arXivmath/0509035OpenAlexW2042889292MaRDI QIDQ855958

Gonzalo Aranda Pino, Mercedes Siles Molina, Enrique Pardo Espino

Publication date: 7 December 2006

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

Full work available at URL: https://arxiv.org/abs/math/0509035

zbMATH Keywords

graphstable rankLeavitt path algebraexchange ring

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) General theory of (C^*)-algebras (46L05) Leavitt path algebras (16S88)

Related Items

TWO-SIDED CHAIN CONDITIONS IN LEAVITT PATH ALGEBRAS OVER ARBITRARY GRAPHS ⋮ Ideal Structure of Leavitt Path Algebras with Coefficients in a Unital Commutative Ring ⋮ Leavitt path algebras with bases consisting solely of units ⋮ Singular equivalence of finite dimensional algebras with radical square zero ⋮ Leavitt path algebras of separated graphs ⋮ Chain conditions for Leavitt path algebras ⋮ \(*\)-regular Leavitt path algebras of arbitrary graphs. ⋮ Finite-dimensional Leavitt path algebras. ⋮ Compact graph \(C^\ast\)-algebras ⋮ The regular algebra of a quiver. ⋮ Commutator Leavitt path algebras. ⋮ Centers of path algebras, Cohn and Leavitt path algebras ⋮ Leavitt path algebras with coefficients in a commutative ring. ⋮ Simple Lie algebras arising from Leavitt path algebras. ⋮ Stable rank of Leavitt path algebras ⋮ Maximal commutative subalgebras of Leavitt path algebras ⋮ The Dixmier-Moeglin equivalence for Leavitt path algebras. ⋮ Weakly regular and self-injective Leavitt path algebras over arbitrary graphs. ⋮ Classes of almost clean rings. ⋮ Flow invariants in the classification of Leavitt path algebras. ⋮ Full idempotents in Leavitt path algebras ⋮ Branching systems and representations of Cohn-Leavitt path algebras of separated graphs. ⋮ ALGEBRAIC CUNTZ–KRIEGER ALGEBRAS ⋮ A Survey of Some of the Recent Developments in Leavitt Path Algebras ⋮ A Survey on the Ideal Structure of Leavitt Path Algebras ⋮ Algebras of quotients of path algebras. ⋮ Locally finite Leavitt path algebras. ⋮ The socle of a Leavitt path algebra. ⋮ On prime nonprimitive von Neumann regular algebras ⋮ Uniqueness theorems and ideal structure for Leavitt path algebras ⋮ Generalized Regularity Conditions for Leavitt Path Algebras over Arbitrary Graphs ⋮ Atlas of Leavitt path algebras of small graphs ⋮ Representing finitely generated refinement monoids as graph monoids ⋮ The socle series of a Leavitt path algebra. ⋮ Square-free modules with the exchange property. ⋮ Morita Equivalence and Morita Invariant Properties: Applications in the Context of Leavitt Path Algebras ⋮ Simplicity of the Lie Algebra of Skew Symmetric Elements of a Leavitt Path Algebra ⋮ The center of a Leavitt path algebra. ⋮ Socle theory for Leavitt path algebras of arbitrary graphs. ⋮ Ideals in graph algebras ⋮ On the Simplicity of the Lie Algebra of a Leavitt Path Algebra ⋮ Leavitt path algebras: the first decade ⋮ STABLE RANK OF LEAVITT PATH ALGEBRAS OF ARBITRARY GRAPHS ⋮ Cancellation properties of graded and nonunital rings. Graded clean and graded exchange Leavitt path algebras

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