2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158668It is proved that the unital Banach algebra of almost periodic functions of several variables with Bohr-Fourier spectrum in a given additive semigroup is an Hermite ring. The same property holds for the Wiener algebra of functions that in addition have absolutely convergent Bohr-Fourier series. As applications of the Hermite property of these algebras, we study factorizations of Wiener--Hopf type of rectangular matrix functions and the Toeplitz corona problem in the context of almost periodic functions of several variables.18 pagesFunctional Analysis42A75 (Primary); 46C20, 46J20, 47A68, 47B35 (Secondary)text