2018Colloquium MathematicumOpen access

Degrees and composition of irreducible morphisms in coils

Claudia Chaio, Piotr Malicki

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Abstract

We characterize the finiteness of degrees of irreducible morphisms between indecomposable modules lying in coils of the Auslander–Reiten quivers of artin algebras. We mainly study non-zero compositions of irreducible morphisms between indecomposable modul

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We characterize the finiteness of degrees of irreducible morphisms between indecomposable modules lying in coils of the Auslander–Reiten quivers of artin algebras. We mainly study non-zero compositions of irreducible morphisms between indecomposable modul

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Available abstract

We characterize the finiteness of degrees of irreducible morphisms between indecomposable modules lying in coils of the Auslander–Reiten quivers of artin algebras. We mainly study non-zero compositions of irreducible morphisms between indecomposable modul

Key concepts: Indecomposable module, Morphism, Mathematics, Pure mathematics, Composition (language), Zero (linguistics), Algebra over a field, Linguistics

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