On the Composite of Three Irreducible Morphisms in the Fourth Power of the Radical

DOI10.1080/00927870903136949zbMath1211.16012OpenAlexW1976800931MaRDI QIDQ3084560

Flávio Ulhoa Coelho, Claudia Chaio, Sonia Trepode

Publication date: 25 March 2011

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

Full work available at URL: https://doi.org/10.1080/00927870903136949

zbMATH Keywords

Auslander-Reiten quiversindecomposable modulesArtin algebrasAuslander-Reiten translationsirreducible morphismsinfinite radicalalmost-split sequencesalmost sectional paths

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Homological dimension in associative algebras (16E10)

Related Items (8)

On cycles of length three ⋮ On the composition of three irreducible morphisms in the bounded homotopy category ⋮ Degrees of irreducible morphisms in coherent almost cyclic Auslander-Reiten components. ⋮ On the composite of irreducible morphisms in almost sectional paths. ⋮ Degrees of irreducible morphisms in standard components. ⋮ Degrees and composition of irreducible morphisms in almost pre-sectional paths. ⋮ On sums of compositions of irreducible morphisms ⋮ Organising the module category

Cites Work

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• On the degree of irreducible morphisms.
• A characterization of finite Auslander-Reiten quivers
• On the composite of two irreducible morphisms in radical cube.
• On the composite of irreducible morphisms in almost sectional paths.
• Degrees of Irreducible Maps and the Shapes of Auslander-Reiten Quivers
• A Note on the Composite of Two Irreducible Morphisms

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