2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/118401A ring with effects (e-ring) is a generalization of the ring of bounded linear operators on a Hilbert space and the subsystem of effect operators (positive Hermitian operators dominated by the identity operator). The POV-measures representing (perhaps fuzzy) quantum mechanical observables take on their valued in the system of Hilbert-space effect operators. We study and give several examples of e-rings, including von Neumann algebras and rings of bounded measurable functions.20 pagesQuantum PhysicsRings with effectstext