Non-free iterative differential modules
In [7] we established a Picard-Vessiot theory over differentially simple rings which may not be fields. Differential modules over such rings were proven to be locally free but don't have to be free as modules. In this article, we give a family of examples of non-free differential modules, and c...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2017-02-22
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| In: |
ACM Communications in computer algebra
Year: 2016, Volume: 50, Issue: 4, Pages: 126-135 |
| ISSN: | 1932-2240 |
| DOI: | 10.1145/3055282.3055283 |
| Online Access: | Resolving-System, Volltext: http://dx.doi.org/10.1145/3055282.3055283 Verlag, Volltext: https://dl.acm.org/citation.cfm?id=3055283 
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| Author Notes: | Andreas Maurischat |
| Summary: | In [7] we established a Picard-Vessiot theory over differentially simple rings which may not be fields. Differential modules over such rings were proven to be locally free but don't have to be free as modules. In this article, we give a family of examples of non-free differential modules, and compute Picard-Vessiot rings as well as Galois groups for them. |
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| Item Description: | Gesehen am 20.02.2019 |
| Physical Description: | Online Resource |
| ISSN: | 1932-2240 |
| DOI: | 10.1145/3055282.3055283 |