ON THE RELATION BETWEEN GROBNER AND POMMARET BASES

Authors
Citation
D. Mall, ON THE RELATION BETWEEN GROBNER AND POMMARET BASES, Applicable algebra in engineering, communication and computing, 9(2), 1998, pp. 117-123
Citations number
12
Categorie Soggetti
Mathematics,"Computer Science Theory & Methods","Computer Science Interdisciplinary Applications",Mathematics,"Computer Science Theory & Methods","Computer Science Interdisciplinary Applications
ISSN journal
09381279
Volume
9
Issue
2
Year of publication
1998
Pages
117 - 123
Database
ISI
SICI code
0938-1279(1998)9:2<117:OTRBGA>2.0.ZU;2-A
Abstract
The reduced Pommaret basis and the reduced Grobner basis of an ideal I with respect to a fixed admissible term order < differ in general. A necessary and sufficient criterion for the coincidence of these bases is given.