Manis Valuations and Prüfer Extensions I : A New Chapter in Commutative Algebra
The present book is devoted to a study of relative Prüfer rings and Manis valuations, with an eye to application in real and p-adic geometry. If one wants to expand on the usual algebraic geometry over a non-algebraically closed base field, e.g. a real closed field or p-adically closed field, one ty...
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| Auteurs principaux: | , |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Collection: | Lecture notes in mathematics
1791 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Manis valuations and prüfer extensions, I, a new chapter in communicative algebra, Manfred Knebusch, Digen Zhang, 2002, Berlin, Springer, 1 vol. (267 p.), Lecture notes in mathematics, 3-540-43951-X • Manis Valuations and Prüfer Extensions I, Texte imprimé, 9783662213476 |
Table des matières:
- Introduction
- Basics on Manis valuations and Prüfer extensions
- Multiplicative ideal theory
- PM-valuations and valuations of weaker type
- Appendix A: Flat epimorphisms
- Appendix B: Arithmetical rings
- Appendix C: A direct proof of the existence of Manis valuation hulls
- References
- Index.

