2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157281We give an extension of a graph result by Alon and Shapira. And it affirmatively settles a question on property testing raised by them. All monotone hypergraph properties and all hereditary partite hypergraph properties are testable. Our proof is constructive and based on a new hypergraph regularity lemma.13 pagesCombinatorics05C65;68W20;68W25text