A Sheaf Model of the Algebraic Closure

Bassel Mannaa, Thierry Coquand

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Abstrakt

In constructive algebra one cannot in general decide the irreducibility of a polynomial over a field K. This poses some problems to showing the existence of the algebraic closure of K. We give a possible constructive interpretation of the existence of the algebraic closure of a field in characteristic 0 by building, in a constructive metatheory, a suitable site model where there is such an algebraic closure. One can then extract computational content from this model. We give examples of computation based on this model.
OriginalsprogUdefineret/Ukendt
TidsskriftEPTCS
ISSN2075-2180
DOI
StatusUdgivet - 17 apr. 2014
Udgivet eksterntJa

Emneord

  • math.LO
  • F.4.1

Citationsformater