Chaio, ClaudiaPratti, IsabelSouto Salorio, María José2023-12-142023-12-142019-02-01Chaio, C., Pratti, I. & Souto Salorio, M.J. On the Degree in Categories of Complexes of Fixed Size. Appl Categor Struct 27, 435–462 (2019). https://doi.org/10.1007/s10485-019-09557-x0927-2852http://hdl.handle.net/2183/34508This version of the article has been accepted for publication, after peer review and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s10485-019-09557-x.[Abstract]: We consider Λ an artin algebra and n ≥ 2. We study how to compute the left and right degrees of irreducible morphisms between complexes in a generalized standard Auslander-Reiten component of Cn(proj Λ) with length. We give conditions under which the kernel and the cokernel of irreducible morphisms between complexes in Cn(proj Λ) belong to such a category. For a finite dimensional hereditary algebra H over an algebraically closed field, we determine when an irreducible morphism has finite left (or right) degree and we give a characterization, depending on the degrees of certain irreducible morphisms, under which Cn(proj H) is of finite type.engTodos os dereitos reservados. All rights reserved.Irreducible morphismsAuslander–Reiten quiverDegreeKernelCokerneljournal articleopen access10.1007/s10485-019-09557-x