Valued fields: p-adic numbers as a case study

In this thesis, we first build the idea of field valuation and look into some of its examples, followed by the idea of general absolute value, as they are closely related. Then, an absolute value induces a metric, and we can talk about completions of fields with respect to the induced metric. In...

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Bibliographic Details
Main Author: Song, Ruiqi
Other Authors: Wu Guohua
Format: Final Year Project
Language:English
Published: Nanyang Technological University 2023
Subjects:
Online Access:https://hdl.handle.net/10356/166471
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Institution: Nanyang Technological University
Language: English