Embedding ordered fields in formal power series fields

✍ Scribed by F.-V. Kuhlmann; S. Kuhlmann; M. Marshall; M. Zekavat

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 198 KB
• Volume: 169
• Category: Article
• ISSN: 0022-4049
• DOI: 10.1016/s0022-4049(01)00064-0

✦ Synopsis

In the paper it is shown how an embedding of an ordered ÿeld F into a formal power series ÿeld can be extended canonically to an embedding of any simple extension F(y) of F. Properties of the extended embedding are studied in detail. Several applications are given.