Picard-Vessiot theory of differentially simple rings
Having in mind that the classical Galois theory is a theory of extensions of fields, i.e. of simple rings, it is quite natural to ask whether one can also set up a Picard-Vessiot theory where the base is not a differential field, but more generally a differentially simple ring. It is the aim of this...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
19 April 2014
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| In: |
Journal of algebra
Year: 2014, Volume: 409, Pages: 162-181 |
| ISSN: | 1090-266X |
| DOI: | 10.1016/j.jalgebra.2014.04.005 |
| Online Access: | Resolving-System, Volltext: http://dx.doi.org/10.1016/j.jalgebra.2014.04.005 Verlag, Volltext: https://www.sciencedirect.com/science/article/pii/S0021869314001975 
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| Author Notes: | Andreas Maurischat |
| Summary: | Having in mind that the classical Galois theory is a theory of extensions of fields, i.e. of simple rings, it is quite natural to ask whether one can also set up a Picard-Vessiot theory where the base is not a differential field, but more generally a differentially simple ring. It is the aim of this article to give a positive answer to this question, i.e. to set up such a differential Galois theory. |
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| Item Description: | Gesehen am 21.02.2019 |
| Physical Description: | Online Resource |
| ISSN: | 1090-266X |
| DOI: | 10.1016/j.jalgebra.2014.04.005 |