In the presence of NaOH, the amphoteric Al(OH)3 dissolves. One could view this as a weak acid (HAlO2) reacting with a strong base, forming Sodium Aluminate (variously written as NaAlO2 or NaAl(OH)3).
Interestingly, treating aqueous NaAl(OH)3 with even a mild acid, like CO2, produces an Al(OH)3 precipitate and NaHCO3.