The Gabriel-Roiter measure for \(\widetilde\mathbb{A}_n\).

DOI10.1016/j.jalgebra.2008.06.022zbMath1182.16011OpenAlexW2061266533MaRDI QIDQ958059

Bo Chen

Publication date: 2 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.06.022

zbMATH Keywords

string algebrastame hereditary algebrasGabriel-Roiter measuresdefect functions

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of quivers and partially ordered sets (16G20)

Related Items (6)

The Gabriel-Roiter measure for \(\widetilde{\mathbb A}_n\). II. ⋮ The number of the Gabriel-Roiter measures admitting no direct predecessors over a wild quiver. ⋮ Regular modules with preprojective Gabriel-Roiter submodules over \(n\)-Kronecker quivers. ⋮ The Auslander–Reiten Components in the Rhombic Picture ⋮ The number of Gabriel-Roiter submodules. ⋮ The Gabriel-Roiter submodules of simple homogeneous modules

Cites Work

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• Tame algebras and integral quadratic forms
• The Gabriel-Roiter measure for representation-finite hereditary algebras.
• Preprojective modules over Artin algebras
• The Gabriel-Roiter measure.
• Comparison of Auslander–Reiten Theory and Gabriel–Roiter Measure Approach to the Module Categories of Tame Hereditary Algebras
• Auslander-reiten sequences with few middle terms and applications to string algebrass
• THE AUSLANDER–REITEN SEQUENCES ENDING AT GABRIEL–ROITER FACTOR MODULES OVER TAME HEREDITARY ALGEBRAS

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