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Observations reveal a universal stellar mass-stellar metallicity relation(MZR) existing in Local Group dwarfs of different types, $Z_*\proptoM_*^{\alpha}$ with $\alpha=0.30\pm0.02$. In this work, we investigate the"universality" of the MZRs for both satellites and central galaxies in a largenumber of different host dark matter halos covering a large mass range of$10^9$-$10^{15}h^{-1}M_\odot$, by using a semianalytical galaxy formation andevolution model. We obtain the following results. (1) The exponents ($\alpha$)for the MZRs of the satellites in halos with the same mass as the Milky Wayhalo but different individual assembly histories are mostly $\sim$0.2-0.4,i.e., having a scatter of $\sim 0.2$; and the scatter of $\alpha$ increaseswith decreasing halo masses. (2) The MZR relations are changed little by thevariation of halo masses and the classification between central galaxies andsatellites, if many halos with the same mass are stacked together. (3) A doublepower law exists in the MZR relations for both central galaxies and stackedsatellites, with $\alpha\sim$0.2-0.4 at $10^3M_\odot< M_*<10^{8} M_\odot$ and arelatively higher $\alpha\sim0.5$ at $10^8M_\odot<M_*<10^{11}M_\odot$. (4) Thehigh-mass satellites ($M_*>10^8M_\odot$) existing mostly in high-mass halos canlead to an apparent increase of $\alpha$ (from $\sim0.2$ to $\sim0.4$) withincreasing host halo masses shown in the single power law fitting results ofstacked satellites. The universality of the MZR suggests the common physicalprocesses in stellar formation and chemical evolution of galaxies can beunified over a large range of galaxy masses and halo masses.

Is the stellar mass-stellar metallicity relation universal in the Milky Way satellites and beyond?