2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/209900We study the K_0 and K_1-groups of exact and triangulated categories of perfect complexes, and we apply the results to show how determinant functors on triangulated categories can be used for the construction of Euler characteristics in relative algebraic K_0-groups.17 pagesK-Theory and HomologyCategory Theory18D10, 18E10, 18E30, 18F25text