Please use this identifier to cite or link to this item:
http://hdl.handle.net/11375/13278| Title: | Immediate expansions by valuation of fields |
| Authors: | Hong, Jizhan |
| Advisor: | Haskell, Deirdre Bradd Hart, Patrick Speissegger |
| Department: | Mathematics and Statistics |
| Keywords: | valuation;definable;immediate expansions;separably closed valued fields;valued o-minimal fields;algebraically closed valued fields;intermediate structures;Algebra;Algebraic Geometry;Logic and Foundations;Algebra |
| Publication Date: | Oct-2013 |
| Abstract: | <p>The main subject of investigation is the so-called "immediate expansion''<br />phenomenon in various first-order valued-field structures over the<br />corresponding underlying field structures. In particular, certain "valued<br />o-minimal fields'', certain Henselian valued fields with non-divisible valued<br />groups, and certain separably closed valued fields of finite imperfection degree, are<br />shown to have this property.</p> |
| URI: | http://hdl.handle.net/11375/13278 |
| Identifier: | opendissertations/8099 9139 4510407 |
| Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| fulltext.pdf | 665.11 kB | Adobe PDF | View/Open |
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