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

Maria A. Avino-Diaz·Luis D. Garcia-Puente
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Abstract

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.

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Maria A. Avino-Diaz, Luis D. Garcia-Puente. 2006-06-07. Computing the additive structure of indecomposable modules over Dedekind-like rings using Groebner bases. https://arxiv.org/abs/math/0603304

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