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

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dc.creatorAvino-Diaz, Maria A.
dc.creatorGarcia-Puente, Luis D.
dc.date2006-03-13
dc.date2006-06-07
dc.date.accessioned2026-07-07T07:06:50Z
dc.date.available2026-07-07T07:06:50Z
dc.descriptionWe 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.
dc.descriptionTo appear in Journal of Algebra and its Applications, 12 pages
dc.identifierhttps://arxiv.org/abs/math/0603304
dc.identifierhttp://arxiv.org/abs/math/0603304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110170
dc.subjectCommutative Algebra
dc.subjectGroup Theory
dc.subjectRepresentation Theory
dc.subject13C05;06D05
dc.titleComputing the additive structure of indecomposable modules over Dedekind-like rings using Groebner bases
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