Computing the additive structure of indecomposable modules over Dedekind-like rings using Groebner bases
Commutative Algebra
2007-05-23 v3 Group Theory
Representation Theory
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.
Keywords
Cite
@article{arxiv.math/0603304,
title = {Computing the additive structure of indecomposable modules over Dedekind-like rings using Groebner bases},
author = {Maria A. Avino-Diaz and Luis D. Garcia-Puente},
journal= {arXiv preprint arXiv:math/0603304},
year = {2007}
}
Comments
To appear in Journal of Algebra and its Applications, 12 pages