Structure analysis of polynomial modules with Pommaret bases
We show how Pommaret bases of submodules of free polynomial modules can be used to extract structural information like the dimension, the depth or the Castelnuovo-Mumford regularity. In particular, we discuss the syzygy theory of Pommaret bases and its use for the construction of free resolutions.
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
[2003]
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| In: |
Proceedings in applied mathematics and mechanics
Year: 2003, Jahrgang: 2, Heft: 1, Pages: 446-447 |
| ISSN: | 1617-7061 |
| DOI: | 10.1002/pamm.200310207 |
| Online-Zugang: | Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1002/pamm.200310207 Verlag, kostenfrei, Volltext: http://onlinelibrary.wiley.com/doi/10.1002/pamm.200310207/abstract 
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| Verfasserangaben: | Werner M. Seiler |
| Zusammenfassung: | We show how Pommaret bases of submodules of free polynomial modules can be used to extract structural information like the dimension, the depth or the Castelnuovo-Mumford regularity. In particular, we discuss the syzygy theory of Pommaret bases and its use for the construction of free resolutions. |
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| Beschreibung: | Gesehen am 04.10.2017 |
| Beschreibung: | Online Resource |
| ISSN: | 1617-7061 |
| DOI: | 10.1002/pamm.200310207 |