We model interactions between charged colloidal particles by the screened Coulomb potential, and employ the analytically solved static structure factor in conjunction with the idealized mode-coupling theory to determine the liquid-glass transition phase boundary. We find that the presence of an ionic screening has the consequence of revealing a subtle competition between the hard-core geometric factor and the charge-induced screening effect, resulting, for the strong screening case, in an extended charge-stabilized suspension and, for the weak screening case, in a more restrictive ergodic domain.