Pythagorean *-fields

✍ Scribed by Thomas C. Craven; Tara L. Smith

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 118 KB
• Volume: 225
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1999.8149

✦ Synopsis

We generalize the usual notion of the pythagorean field (every sum of squares is a square) to the setting of division rings D with involution. We choose a definition that works particularly well with Baer orderings and Witt groups of hermitian forms.