| Schörner, Erwin (2003): On maximal immediate extensions of valued division algebras. In: Forum Mathematicum, Vol. 15, No. 1: pp. 123-134 |
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Abstract
We show an extension theorem for strictly contracting bilinear mappings into a spherically complete valued vector space and we apply this result to prove that every maximal valued division algebra having the same characteristic as its residue division algebra is spherically complete.
| Item Type: | Journal article |
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| Form of publication: | Publisher's Version |
| Faculties: | Mathematics, Computer Science and Statistics > Mathematics |
| Subjects: | 500 Science > 510 Mathematics |
| URN: | urn:nbn:de:bvb:19-epub-17841-1 |
| ISSN: | 0933-7741 |
| Alliance/National Licence: | This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively. |
| Language: | English |
| ID Code: | 17841 |
| Deposited On: | 02. Jan 2014 10:32 |
| Last Modified: | 04. Nov 2020 12:59 |
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