A quantum theory of the dependence on bias voltage of the tunnel magnetores
istance in a triple barrier system of the form MOMOMOM is presented. The Ms
represent magnetic metallic layers and the Os are thin tunnel barriers. Th
e two inner layers form spin-dependent quantum wells. The relative orientat
ion of the magnetization in the successive magnetic layers can be changed f
rom parallel to antiparallel. For a particular thickness of the inner metal
lic layers, a very large change of resistance occurs between the parallel a
nd antiparallel magnetic configurations due to the spin dependence of the r
esonant tunnelling in these layers. It is shown that oscillations in the vo
ltage dependence of the magnetoresistance amplitude take place associated w
ith oscillations between resonant and antiresonant tunnelling as a function
of the electrons' energy.