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The equations of state for degenerate electron and neutron gases are studied in the presence of magnetic fields. After including quantum effects to study the structural properties of these systems, it is found that some hypermagnetized stars can be unstable based on the criterium of stability of pressures. Highly magnetized white dwarfs should collapse producing a supernova type Ia, whilst superstrongly magnetized neutron stars cannot stand their own magnetic field and must implode, too. Adoi:10.1088/1009-9271/5/4/007 fatcat:uukq7cpckjdx5imrdkzfo4m2kq