It depends on what you are doing with your model, but generally, you shouldn't have to use an attribute for this, you can use an association instead. Associations are able to contain more information that attributes, such as whether they are composite or shared, which ends are navigable, multiplicity on each end, named endpoints, etc.
One benefit of associations is that one association can actually represent a property on each class it is connected to, while an attribute only represents a property on the class it belongs to.
So, in your case, University has Students, so you'd draw an association from University to Student, naming each endpoint and setting the multiplicity correctly.
Now when you go to generate code from your model, just be sure to take into account associations as well as attributes. This way you won't need to add the properties both as attributes and associations, just as associations. I have a few diagrams I've tested this approach with, generating sql and php code from the xmi via an xsl transform, and it works quite well... if you'd like more details I can dig it up.