An Involutive GVW Algorithm and the Computation of Pommaret Bases
| dc.contributor.author | Robertz, Daniel | |
| dc.contributor.author | Hashemi, A | |
| dc.contributor.author | Izgin, T | |
| dc.contributor.author | Seiler, WM | |
| dc.date.accessioned | 2021-04-07T11:21:46Z | |
| dc.date.issued | 2021-06-07 | |
| dc.identifier.issn | 1661-8270 | |
| dc.identifier.issn | 1661-8289 | |
| dc.identifier.uri | http://hdl.handle.net/10026.1/17024 | |
| dc.description.abstract |
The GVW algorithm computes simultaneously Gröbner bases of a given ideal and of the syzygy module of the given generating set. In this work, we discuss an extension of it to involutive bases. Pommaret bases play here a special role in several respects. We distinguish between a fully involutive GVW algorithm which determines involutive bases for both the given ideal and the syzygy module and a semi-involutive version which computes for the syzygy module only an ordinary Gröbner basis. A prototype implementation of the developed algorithms in Maple is described. | |
| dc.format.extent | 419-452 | |
| dc.language | en | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.title | An Involutive GVW Algorithm and the Computation of Pommaret Bases | |
| dc.type | journal-article | |
| dc.type | Journal Article | |
| plymouth.issue | 3 | |
| plymouth.volume | 15 | |
| plymouth.publication-status | Published | |
| plymouth.journal | Mathematics in Computer Science | |
| dc.identifier.doi | 10.1007/s11786-021-00512-5 | |
| plymouth.organisational-group | /Plymouth | |
| plymouth.organisational-group | /Plymouth/Faculty of Science and Engineering | |
| plymouth.organisational-group | /Plymouth/Users by role | |
| plymouth.organisational-group | /Plymouth/Users by role/Academics | |
| dcterms.dateAccepted | 2021-03-16 | |
| dc.rights.embargodate | 2022-6-7 | |
| dc.identifier.eissn | 1661-8289 | |
| dc.rights.embargoperiod | Not known | |
| rioxxterms.versionofrecord | 10.1007/s11786-021-00512-5 | |
| rioxxterms.licenseref.uri | http://www.rioxx.net/licenses/all-rights-reserved | |
| rioxxterms.licenseref.startdate | 2021-06-07 | |
| rioxxterms.type | Journal Article/Review |
