On the genus of the graph of tilting modules.

zbMath1116.16015MaRDI QIDQ1878946

Michael Ungruhe, Luise Unger

Publication date: 10 September 2004

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/127691

zbMATH Keywords

indecomposable direct summandstilting modulesprojective dimensiondirect sumssimple modulesArtin algebrasrepresentation finite algebrasfinite quiversHasse diagramscategories of finite-dimensional left modulesfinite-dimensional connected algebras

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Planar graphs; geometric and topological aspects of graph theory (05C10) Representations of quivers and partially ordered sets (16G20) Homological dimension in associative algebras (16E10)

Related Items (2)

On the combinatorics of the set of tilting modules ⋮ A relation between tilting graphs and cluster-tilting graphs of hereditary algebras.

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