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

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

2006-03-13

arxiv.org/abs/math/0603304v3

Mathematics

Commutative Algebra

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

Scientific paper

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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