Computing the additive structure of indecomposable modules over Dedekind-like rings using Groebner bases

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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.
To appear in Journal of Algebra and its Applications, 12 pages

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Commutative Algebra, Group Theory, Representation Theory, 13C05;06D05

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http://salesiana.dossiersoluciones.com/handle/123456789/110170

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603304
 http://arxiv.org/abs/math/0603304

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arXiv