Degrees and composition of irreducible morphisms in almost pre-sectional paths.

DOI10.1007/S10468-012-9401-ZzbMath1321.16008OpenAlexW2084902844MaRDI QIDQ2015187

Claudia Chaio

Publication date: 23 June 2014

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-012-9401-z

zbMATH Keywords

Auslander-Reiten componentsfinite-dimensional algebrasAuslander-Reiten quiversfinite representation typealmost split sequencesArtin algebrasradicaldegrees of irreducible morphisms

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10)

Related Items (12)

On cycles of length three ⋮ On the composition of three irreducible morphisms in the bounded homotopy category ⋮ On the nilpotency index of the radical of a module category ⋮ Module categories of small radical nilpotency ⋮ Degrees and composition of irreducible morphisms in coils ⋮ Composition of irreducible morphisms in quasi-tubes ⋮ On the composition of four irreducible morphisms in the fifth power of the radical ⋮ On sums of compositions of irreducible morphisms ⋮ Characterization of irreducible morphisms of degree three ⋮ Degrees in Auslander–Reiten components with almost split sequences of at most two middle termss ⋮ A generalization of the composition of irreducible morphisms in regular components. ⋮ Degrees of irreducible morphisms in generalized standard coherent almost cyclic components

Cites Work

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• On the Harada and Sai bound
• Degrees of Irreducible Maps and the Shapes of Auslander-Reiten Quivers
• Degrees of irreducible morphisms and finite-representation type

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