Computing the additive structure of indecomposable modules over   Dedekind-like rings using Groebner bases
  We introduce a general constructive method to find a p-basis (and the Ulm invariants) of a finite Abelian p-group M. This algorithm is based on Groebner bases theory. We apply this method to determine the additive structure of indecomposable modules over the following Dedeking-like rings: ZCp, where Cp is the cyclic group of order a prime p, and the p-pullback Z --> Zp <-- Z of Z+Z. 
Maria A. Avino-Diaz, Luis D. Garcia-Puente