EVERY GRADED IDEAL OF A LEAVITT PATH ALGEBRA IS GRADED ISOMORPHIC TO A LEAVITT PATH ALGEBRA

DOI10.1017/S0004972721000642zbMath1496.16031arXiv2106.14828MaRDI QIDQ5069271

Lia Vaš

Publication date: 8 April 2022

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.14828

zbMATH Keywords

graded ringgraded idealLeavitt path algebra

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Graded rings and modules (associative rings and algebras) (16W50) Ideals in associative algebras (16D25) Leavitt path algebras (16S88)

Related Items (3)

Annihilator ideals of graph algebras ⋮ A talented monoid view on Lie bracket algebras over Leavitt path algebras ⋮ Graded irreducible representations of Leavitt path algebras: a new type and complete classification

Cites Work

• Weakly regular and self-injective Leavitt path algebras over arbitrary graphs.
• Ideals in graph algebras
• The ideal structure of the \(C^*\)-algebras of infinite graphs
• Leavitt path algebras
• Canonical traces and directly finite Leavitt path algebras.
• Uniqueness theorems and ideal structure for Leavitt path algebras
• Graded Rings and Graded Grothendieck Groups

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