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On binomials and algebraic closure of some pseudofinite fields

2021/09/21 by Jakub Gismatullin, Gismatullin, Jakub, Katarzyna Tarasek +1
Mathematics · #03C20 #12F05 #12L10 #FOS: Mathematics #Logic (math.LO) #math.LO #msc:03C20 #msc:12F05 #msc:12L10

paper · pdf · doi:10.48550/arxiv.2109.10130

arxiv created 2021/09/29 · arxiv updated 2021/09/30

Abstract

We give a criterion when a polynomial xn-g is irreducible over a pseudofinite field. As an application we give an explicit description of algebraic closure of some pseudofinite fields of zero characteristic.

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