  The magnetic field in stellar radiation zones can play an important role in
phenomena such as mixing, angular momentum transport, etc. We study the effect
of rotation on the stability of a predominantly toroidal magnetic field in the
radiation zone. In particular we considered the stability in spherical geometry
by means of a linear analysis in the Boussinesq approximation. It is found that
the effect of rotation on the stability depends on a magnetic configuration. If
the toroidal field increases with the spherical radius, the instability cannot
be suppressed entirely even by a very fast rotation. Rotation can only decrease
the growth rate of instability. If the field decreases with the radius, the
instability has a threshold and can be completey suppressed.
