Tenant's Credit

[Jamar Arbelo]

Hello,
I have a tenant who never paid November's rent and is basically moving out by Friday (1st), so they say. Is it possible for me to put it on their credit report that they never paid me this month's rent? Also, they were in a lease until next summer, is it possible to go after the remaining month's rent? I doubt that they care what goes onto their credit report, but one day if they try to get a house they will have to pay me if it's on their credit. Does anybody knnow how to go about this?