2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168252We introduce a general recipe to construct quantum projective homogeneous spaces, with a particular interest for the examples of the quantum Grassmannians and the quantum generalized flag varieties. Using this construction, we extend the quantum duality principle to quantum projective homogeneous spaces.Final version (after correcting the journal's proofs), to appear in "Journal of Noncommutative Geometry"Quantum AlgebraRings and Algebrastext