  The magnetization of anisotropic quantum dots in the presence of the Rashba
spin-orbit interaction has been studied for three interacting electrons in the
dot. We observe unique behaviors of magnetization that are direct reflections
of the anisotropy and the spin-orbit interaction parameters independently or
concurrently. In particular, there are saw-tooth structures in the magnetic
field dependence of the magnetization, as caused by the electron-electron
interaction, that are strongly modified in the presence of large anisotropy and
high strength of the spin-orbit interactions. We report the temperature
dependence of magnetization that indicates the temperature beyond which these
structures due to the interactions disappear. Additionally, we found the
emergence of a weak saw-tooth structure in magnetization in the high anisotropy
and large spin-orbit interaction limit that was explained as a result of
merging of two low-energy curves when the level spacings evolve with increasing
values of the anisotropy and the spin-orbit interaction strength.
