2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76339We consider the preservation of the properties of automaticity and prefix-automaticity in Rees matrix semigroups over semigroupoids and small categories. Some of our results are new or improve upon existing results in the single-object case of Rees matrix semigroups over semigroups.27 pagesRings and Algebras20M05, 20M50, 18B40text