2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62081For a noncommutative space X, we study Inj(X), the set of isomorphism classes of indecomposable injective X-modules. In particular, we look at how this set, suitably topologized, can be viewed as an underlying "spectrum" for X. As applications we discuss noncommutative notions of irreducibility and integrality, and a way of associating an integral subspace of X to each element of Inj(X) which behaves like a "weak point."35 pagesQuantum AlgebraRings and Algebras18E15, 14A22 (Primary), 18G05, 16S38 (Secondary)text