Note on (De)homogenized Gr\"obner Bases
Rings and Algebras
2009-07-16 v1
Abstract
By employing the (de)homogenization technique in a relatively extensive setting, this note studies in detail the relation between non-homogeneous Gr\"obner bases and homogeneous Gr\"obner bases. As a consequence, a general principle of computing Gr\"obner bases (for an ideal and its homogenization ideal) by passing to homogenized generators is clarified systematically. The obtained results improve and strengthen the work of [LWZ], [Li1], [Li2], [Li3], and very recent [SL] concerning the same topic.
Cite
@article{arxiv.0907.2483,
title = {Note on (De)homogenized Gr\"obner Bases},
author = {Huishi Li},
journal= {arXiv preprint arXiv:0907.2483},
year = {2009}
}
Comments
13 pages