Graphs with disjoint cycles classification via the talented monoid

DOI10.1016/j.jalgebra.2021.11.022zbMath1491.16031arXiv2110.01180OpenAlexW3216254378MaRDI QIDQ2062735

Roozbeh Hazrat, Alfilgen N. Sebandal, Jocelyn P. Vilela

Publication date: 3 January 2022

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

Full work available at URL: https://arxiv.org/abs/2110.01180

zbMATH Keywords

Leavitt path algebrascommutative monoidsclassification conjecture of Leavitt path algebras

Mathematics Subject Classification ID

Leavitt path algebras (16S88)

Related Items

The Jordan–Hölder theorem for monoids with group action ⋮ An adjacency matrix perspective of talented monoids and Leavitt path algebras ⋮ A talented monoid view on Lie bracket algebras over Leavitt path algebras ⋮ Injectives over Leavitt path algebras of graphs with disjoint cycles

Cites Work

• Finitely presented simple modules over Leavitt path algebras.
• Leavitt path algebras with finitely presented irreducible representations.
• Graded Steinberg algebras and their representations
• The graded Grothendieck group and the classification of Leavitt path algebras.
• Leavitt path algebras
• Refinement monoids, equidecomposability types, and Boolean inverse semigroups
• Comparability in the graph monoid
• The talented monoid of a Leavitt path algebra
• Nonstable \(K\)-theory for graph algebras.
• LEAVITT PATH ALGEBRAS OF FINITE GELFAND–KIRILLOV DIMENSION
• The Jordan–Hölder theorem for monoids with group action

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