We generalize the concept of localization of a star operation to flat overrings; subsequently, we investigate the possibility of representing the set Star(R) of star operations on R as the product of Star(T), as T ranges over a family of overrings of R with special properties. We then apply this method to study the set of star operations on a Prüfer domain R, in particular the set of stable star operations and the star-class groups of R.
Jaffard families and localizations of star operations
Spirito D.
2019-01-01
Abstract
We generalize the concept of localization of a star operation to flat overrings; subsequently, we investigate the possibility of representing the set Star(R) of star operations on R as the product of Star(T), as T ranges over a family of overrings of R with special properties. We then apply this method to study the set of star operations on a Prüfer domain R, in particular the set of stable star operations and the star-class groups of R.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Jaffard families and localizations of star operations.pdf
non disponibili
Tipologia:
Versione Editoriale (PDF)
Licenza:
Non pubblico
Dimensione
417 kB
Formato
Adobe PDF
|
417 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
