We investigate the properties of equation of state, the quark fraction, the isospin chemical potential, and the entropy per baryon of strange quark matter at finite temperature under constant magnetic field within the quasiparticle model. We find that both the effects of temperature and magnetic field can significantly influence the thermodynamical properties of quark matter. Our result also indicates that the maximum mass of protoquark stars (PQSs) increases with the heating process along the star evolution, and the core temperature of the maximum mass of PQSs depends on the different snapsho...
