On intersections of two-sided ideals of Leavitt path algebras

DOI10.1016/J.JPAA.2016.07.009zbMath1358.16030arXiv1510.08871OpenAlexW1914690501MaRDI QIDQ338233

Kulumani M. Rangaswamy, Müge Kanuni, Songül Esin

Publication date: 4 November 2016

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.08871

zbMATH Keywords

\(C^*\)-algebrasLeavitt path algebrasKrull's intersection theorem

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Ideals in associative algebras (16D25) Associative rings and algebras arising under various constructions (16S99)

Related Items (9)

Products and intersections of prime-power ideals in Leavitt path algebras ⋮ Products of ideals in Leavitt path algebras ⋮ The Multiplicative Ideal Theory of Leavitt Path Algebras of Directed Graphs—A Survey ⋮ A Survey on the Ideal Structure of Leavitt Path Algebras ⋮ Ideals of Steinberg algebras of strongly effective groupoids, with applications to Leavitt path algebras ⋮ On Prüfer-like properties of Leavitt path algebras ⋮ Variations of primeness and factorization of ideals in Leavitt path algebras ⋮ Existence of maximal ideals in Leavitt path algebras ⋮ The multiplicative ideal theory of Leavitt path algebras

Cites Work

• The theory of prime ideals of Leavitt path algebras over arbitrary graphs.
• Morita equivalence for rings without identity
• Ideals in graph algebras
• Primitive ideals in enveloping algebras
• Uniqueness theorems and ideal structure for Leavitt path algebras
• The Leavitt path algebra of a graph.
• TWO-SIDED CHAIN CONDITIONS IN LEAVITT PATH ALGEBRAS OVER ARBITRARY GRAPHS
• Morita equivalence for rings with local units
• Chain conditions for Leavitt path algebras
• On Generators of Two-Sided Ideals of Leavitt Path Algebras over Arbitrary Graphs
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