Convex subrings of partially ordered rings

✍ Scribed by Niels Schwartz

• Publisher: John Wiley and Sons
• Year: 2010
• Tongue: English
• Weight: 236 KB
• Volume: 283
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200710017

✦ Synopsis

The relationship between a poring and a convex subring has been studied most successfully for porings with bounded inversion. The best conceivable results are known for real closed rings. The present paper focuses on the connections between the prime spectra and between the real spectra of a poring and a convex subring. Examples show that for arbitrary porings one may not expect a very close relationship. But with the assumption of bounded inversion or spectral compatibility the results are similar to those for real closed rings.