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TitleEfficient algorithms for computing Noether normalization.
Author(s) Amir Hashemi
TypeBook, Chapter in Book, Conference Proceeding
AbstractIn this paper, we provide first a new algorithm for testing whether a monomial ideal is in Núther position or not, without using its dimension, within a complexity which is quadratic in input size. Using this algorithm, we provide also a new algorithm to put an ideal in this position within an incremental (one variable after the other) random linear change of the last variables without using its dimension. We describe a modular (probabilistic) version of these algorithms for any ideal using the modular method used in [2] with some modifications. These algorithms have been implemented in the distributed library noether.lib [17] of Singular, and we evaluate their performance via some examples.
ISBN978-3-540-87826-1/pbk
URL http://link.springer.com/chapter/10.1007%2F978-3-540-87827-8_8
LanguageEnglish
Pages97--107
PublisherBerlin: Springer
Year2008
Edition0
Translation No
Refereed No
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