On Decidable Fragments of Theories in Field Arithmetic
碩士 === 國立交通大學 === 應用數學系所 === 106 === In this thesis, we prove the preservation theorem of ∀^n∃ sentences over number fields under existentially closedness. We show that the ∃∀ theories of Hilbertian fields with characteristic 0 and perfect Hilbertian fields are both decidable. We also prove that th...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Others |
| Language: | en_US |
| Published: |
2018
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| Online Access: | http://ndltd.ncl.edu.tw/handle/pp7377 |