Recommended exercises (from previous exam sets)

12/10/2004:  1,2,3,4  (modules, flatness, prime decomposition)

9/12/2005:  1,2,3 (flatness, integral closure, Hilbert function)

11/12/2006:  1,2 (rings of fractions, Hilbert function)

12/12/2007:  1,2 (primary decomposition, rings of fractions)

10/12/2008: 1,2,4 (Integral dependence, primary decomposition, dimension)

9/12/2009:  1,2,3,4 (rings of fractions, prime ideals, noetherian/non-noetherian rings, primary decomposition)

10/12/2010:  1,2,3,4 (flatness/nilpotency, radical ideals, Hilbert polynomial, going up)

9/11/2011:  1,2,4 (integral closure, radical,  artinian rings)

11/12/2012:  1,2,3, 4 (torsion, radical and primary decomposition, going up/lying over, Hilbert polynomial)

Partial english translation of exercises 2004-2011