# Local Decomposition Algorithms

@inproceedings{Alonso1990LocalDA,
title={Local Decomposition Algorithms},
author={Maria Emilia Alonso and Teo Mora and Mario Di Raimondo},
booktitle={AAECC},
year={1990}
}
• Published in AAECC 20 August 1990
• Mathematics, Computer Science
INTRODUCTION For an ideal I ⊂ P := k[X 1 ,…,X n ], many algorithms using Gröbner techniques are a direct consequence of the definition itself of Gröbner basis: among them we can list algorithms for computing syzygies, dimension, minimal bases, free resolutions, Hilbert function and other algebro-geometric invariants of an ideal; the explicit knowledge of syzygies allows moreover to compute ideal intersection and quotients. Other algorithms require a specific property of Gröbner bases w.r.t. of…

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