On the degree of irreducible morphisms.

DOI10.1016/j.jalgebra.2004.06.024zbMath1078.16011OpenAlexW2047282466MaRDI QIDQ706009

Sonia Trepode, Claudia Chaio, María Inés Platzeck

Publication date: 16 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.06.024

zbMATH Keywords

Auslander-Reiten quiversfinite representation typeArtin algebrastame algebrasirreducible morphismsdegrees of irreducible mapsstandard components

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 (18)

On sectional paths in a category of complexes of fixed size ⋮ On the composite of two irreducible morphisms in radical cube. ⋮ On the radical of cluster tilted algebras ⋮ On the radical of the module category of an endomorphism algebra ⋮ On the nilpotency index of the radical of a module 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. ⋮ The composite of irreducible morphisms in standard components. ⋮ On sums of compositions of irreducible morphisms ⋮ On the Composite of Three Irreducible Morphisms in the Fourth Power of the Radical ⋮ Auslander–Reiten Components with Sectional Bypasses ⋮ On the degree in categories of complexes of fixed size ⋮ Degrees in Auslander–Reiten components with almost split sequences of at most two middle termss ⋮ On Involutive Cluster Automorphisms ⋮ 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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• A characterization of finite Auslander-Reiten quivers
• Covering spaces in representation-theory
• Finite dimensional algebras with vanishing Hochschild cohomology
• Infinite radicals in standard Auslander-Reiten components
• Simply connected tame quasi-tilted algebras
• Degrees of Irreducible Maps and the Shapes of Auslander-Reiten Quivers
• Auslander-reiten sequences with few middle terms and applications to string algebrass
• Indecomposable representations of graphs and algebras
• Semi-Stable Components of an Auslander-Reiten Quiver
• The simple connectedness of a tame tilted algebra.

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