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Oscillations of the spin-polarized conductance controlled by a uniform magnetic field in a modified Aharonov-Bohm ring is studied with use of one-dimensional quantum wave guide. Its expression at zero temperature is obtained as a function of the flux penetrating the ring and the magnetic field. It has been found that there are two kinds of polarized conductance extremas for a given Fermi energy. As Zeemann energy of spin-polarized electron in the stub is varied, one kind of extrema exhibits continuous phase shift. However, another is locked at particular values of phase shift and it can only change abruptly from a maxima to a minima when Zeemann crosses the level of the bound state of isolated stub. This is a different mehanism for abrupt change phase of conductance osillations.