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Quantifier elimination for valued fields equipped with an automorphism
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Date
2015-10-01
Author
Durhan, Salih
ONAY, GÖNENÇ
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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We generalize and unify various tools from the study of valued fields equipped with an automorphism to obtain a relative quantifier elimination result for such fields. Along the way we point how the techniques we employ relate to a classical result from tropical geometry. The quantifier elimination result we provide is then applied to the transseries field equipped with the automorphism which sends to .
Subject Keywords
Valued difference fields
,
Valuation theory
,
Model theory
URI
https://hdl.handle.net/11511/65751
Journal
SELECTA MATHEMATICA-NEW SERIES
DOI
https://doi.org/10.1007/s00029-015-0183-0
Collections
Education and Humanities, Article