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http://hdl.handle.net/123456789/3478| Title: | Differential subfields of liouvillian extensions |
| Authors: | Srinivasan, V.R. |
| Keywords: | Differential automorphisms Differential equations Differential fields Liouvillian extensions |
| Issue Date: | 2020 |
| Publisher: | Academic Press Inc. |
| Citation: | Journal of Algebra, 550, pp.358-378. |
| Abstract: | For an ordinary differential field k of characteristic zero, we will prove structure theorems for intermediate differential subfields of liouvillian extensions of k. We apply our results to produce large classes of non linear differential equations having no liouvillian solutions that are transcendental over k. |
| URI: | https://www.sciencedirect.com/science/article/pii/S0021869320300326?via%3Dihub http://hdl.handle.net/123456789/3478 |
| Appears in Collections: | Research Articles |
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| Need to add pdf.odt | 8.63 kB | OpenDocument Text | View/Open |
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