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On the degree of repeated radical extensions
- Source :
- Canadian Mathematical Bulletin. 64:877-885
- Publication Year :
- 2020
- Publisher :
- Canadian Mathematical Society, 2020.
-
Abstract
- We answer a question posed by Mordell in 1953, in the case of repeated radical extensions, and find necessary and sufficient conditions for $[F[\sqrt [m_1]{N_1},\dots ,\sqrt [m_\ell ]{N_\ell }]:F]=m_1\cdots m_\ell $ , where F is an arbitrary field of characteristic not dividing any $m_i$ .
Details
- ISSN :
- 14964287 and 00084395
- Volume :
- 64
- Database :
- OpenAIRE
- Journal :
- Canadian Mathematical Bulletin
- Accession number :
- edsair.doi.dedup.....745b6ee7c87909a23429d7616aceb7fe