1. bookVolume 33 (2019): Issue 1 (September 2019)
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n-TH Root Selections in Fields

Published Online: 18 Jul 2019
Page range: 106 - 120
Received: 05 Apr 2018
Accepted: 01 Jun 2019
Journal Details
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Format
Journal
First Published
12 Dec 2015
Publication timeframe
1 time per year
Languages
English
Copyright
© 2020 Sciendo

In this work we generalize the results of [9] to the higher level case: we define n-th root selections in fields of characteristic ≠ 2, that is subgroups of the multiplicative group of a field whose existence is equivalent to the existence of a partial inverse of the xxn function, provide necessary and sufficient conditions for such a subgroup to exist, study their existence under field extensions, and give some structural results describing the behaviour of maximal n-th root selection fields.

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