Valued fields: p-adic numbers as a case study

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

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...