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Degrees and composition of irreducible morphisms in coils

Volume 155 / 2019

Claudia Chaio, Piotr Malicki Colloquium Mathematicum 155 (2019), 1-30 MSC: 16G70, 16G20, 16E10. DOI: 10.4064/cm7441-1-2018 Published online: 6 September 2018

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 modules lying in coils in relation to powers of the radical of their module category.

Authors

  • Claudia ChaioDepartamento de Matemática
    Facultad de Ciencias Exactas y Naturales
    Funes 3350
    Universidad Nacional de Mar del Plata
    7600 Mar del Plata, Argentina
    e-mail
  • Piotr MalickiFaculty of Mathematics and Computer Science
    Nicolaus Copernicus University
    Chopina 12/18
    87-100 Toruń, Poland
    e-mail

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