Degrees and composition of irreducible morphisms in coils
Volume 155 / 2019
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.
