A. D. I. A, 55 chemin St-Roch, Nice

Publisher and printer. "Cartes de Provence et Algérie, portraits et scènes de charme d'après Yves Dieÿ. Imprimeur pour Lévy et Neurdein" - Éditeurs français de cartes postales, French Wikipedia.

Many (most?) cards name G Lemaitre, Nice, who was presumably the proprietor and maybe A.D.I.A. are the initials of the company name at some time; or maybe ADIA was just th printer of these cards. Coloured photographic view cards have a logo of ADIA in an oval, the example shown is from a card published by Rostan & Munier, also of Nice. Post-WW2 cards use another logo.

ADIA 32-5
ADIA 32-5 rev
A different logo, see text