A categorical approach to Picard-Vessiot theory
Picard-Vessiot rings are present in many settings like differential Galois theory, difference Galois theory and Galois theory of Artinian simple module algebras. In this article we set up an abstract framework in which we can prove theorems on existence and uniqueness of Picard-Vessiot rings, as wel...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2017-03-29
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| In: |
Theory and applications of categories
Year: 2017, Volume: 32, Issue: 14, Pages: 488-525 |
| ISSN: | 1201-561X |
| Online Access: | Verlag, Volltext: http://www.tac.mta.ca/tac/volumes/32/14/32-14abs.html Verlag, Volltext: http://www.tac.mta.ca/tac/volumes/32/14/32-14.pdf 
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| Author Notes: | Andreas Maurischat |
| Summary: | Picard-Vessiot rings are present in many settings like differential Galois theory, difference Galois theory and Galois theory of Artinian simple module algebras. In this article we set up an abstract framework in which we can prove theorems on existence and uniqueness of Picard-Vessiot rings, as well as on Galois groups corresponding to the Picard-Vessiot rings. |
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| Item Description: | Gesehen am 20.02.2019 |
| Physical Description: | Online Resource |
| ISSN: | 1201-561X |