TWO-SIDED CHAIN CONDITIONS IN LEAVITT PATH ALGEBRAS OVER ARBITRARY GRAPHS

DOI10.1142/S0219498811005713zbMath1257.16011MaRDI QIDQ2892983

Pinar Colak, Kulumani M. Rangaswamy, Jason P. Bell, Gene D. Abrams

Publication date: 25 June 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

Leavitt path algebrasgenerators of idealsascending chain condition on two-sided idealsdescending chain condition on two-sided idealshereditary saturated subsets

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Representations of quivers and partially ordered sets (16G20) Ideals in associative algebras (16D25) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70) Leavitt path algebras (16S88)

Related Items (6)

On intersections of two-sided ideals of Leavitt path algebras ⋮ On the ideals of ultragraph Leavitt path algebras ⋮ Unnamed Item ⋮ Ideals of Steinberg algebras of strongly effective groupoids, with applications to Leavitt path algebras ⋮ Leavitt path algebras satisfying a polynomial identity ⋮ Leavitt path algebras: the first decade

Cites Work

• Weakly regular and self-injective Leavitt path algebras over arbitrary graphs.
• Exchange Leavitt path algebras and stable rank
• Locally finite Leavitt path algebras.
• The socle series of a Leavitt path algebra.
• The socle of a Leavitt path algebra.
• Uniqueness theorems and ideal structure for Leavitt path algebras
• The Leavitt path algebra of a graph.
• TWO-SIDED IDEALS IN LEAVITT PATH ALGEBRAS
• Prime spectrum and primitive Leavitt path algebras

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