New Strategies for Standard Bases over Z
Commutative Algebra
2016-09-15 v1
Abstract
Experiences with the implementation of strong Gr\"obner bases respectively standard bases for polynomial rings over principal ideal rings are explained: different strategies for creating the pair set, methods to avoid coefficient growth and a normal form algorithm for non-global orderings.
Cite
@article{arxiv.1609.04257,
title = {New Strategies for Standard Bases over Z},
author = {Christian Eder and Gerhard Pfister and Adrian Popescu},
journal= {arXiv preprint arXiv:1609.04257},
year = {2016}
}