2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110170We 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.To appear in Journal of Algebra and its Applications, 12 pagesCommutative AlgebraGroup TheoryRepresentation Theory13C05;06D05text