n-th root selections in fields

Paweł Gładki

Published: 2019-06-22

Vol. 33 (2019)

n-th root selections in fields

Paweł Gładki

Abstract

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 x↦xⁿ 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.

Keywords:

root selections , root selections of higher level , half-orderings , pre-orderings and orderings of higher level

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Gładki, P. (2019). n-th root selections in fields. Annales Mathematicae Silesianae, 33, 106–120. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13655

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References

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Vol. 33 (2019)
Published: 2019-07-18

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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