So when two magnetic fields interact, neutral points are created. Assuming we had a ring magnet that was magnetized in such a way that they could be naturally stacked into tubes (http://www.leevalley.com/us/images/item/woodworking/magnets/99k3601s1.jpg), does this magnetized tube contain its own neutral point independent of any interaction with another magnetic field (such as the earth's).
Interaction of one magnet with earth's magnetic field
Interaction of two magnets' magnetic fields.
Interaction of magnetic fields from two currents.
