On the degree in categories of complexes of fixed size

CHAIO, CLAUDIA , ISABEL PRATTI, SOUTO-SALORIO M. JOSÉ

APPLIED CATEGORICAL STRUCTURES

SPRINGER

Lugar: Berlin; Año: 2019 vol. 27 p. 435 - 462

0927-2852

We consider A 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 A) with length. We give conditions under which the kernel and the cokernel of irreducible morphisms between complexes in Cn(proj A) 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.