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CIE
2009
Springer

Spectra of Algebraic Fields and Subfields

9 years 12 days ago
Spectra of Algebraic Fields and Subfields
An algebraic field extension of Q or Z/(p) may be regarded either as a structure in its own right, or as a subfield of its algebraic closure F (either Q or Z/(p)). We consider the Turing degree spectrum of F in both cases, as a structure and as a relation on F, and characterize the sets of Turing degrees that are realized as such spectra. The results show a connection between enumerability in the structure F and computability when F is seen as a subfield of F. Key words: Computability, computable model theory, field, algebraic, spectrum.
Andrey Frolov, Iskander Sh. Kalimullin, Russell Mi
Added 14 Aug 2010
Updated 14 Aug 2010
Type Conference
Year 2009
Where CIE
Authors Andrey Frolov, Iskander Sh. Kalimullin, Russell Miller
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