Depreciating on a deceased person's taxes

So, my mother died in August and I inherited a rental property from her.  I know that the fair market value is what I will base my depreciation on in general, but I'm also preparing her final return-- Do I also depreciate it on her taxes or is there some sort of rule for which tax return I depreciate it on?  She got more months worth of rent than I did but I'm the poor sucker who had to throw six thousand in repairs at the horrid thing.