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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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
[2003]
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| In: |
Proceedings in applied mathematics and mechanics
Year: 2003, Volume: 2, Issue: 1, Pages: 446-447 |
| ISSN: | 1617-7061 |
| DOI: | 10.1002/pamm.200310207 |
| Online Access: | 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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| Author Notes: | Werner M. Seiler |
| Summary: | 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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| Item Description: | Gesehen am 04.10.2017 |
| Physical Description: | Online Resource |
| ISSN: | 1617-7061 |
| DOI: | 10.1002/pamm.200310207 |