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...
Kaydedildi:
| Asıl Yazarlar: | , |
|---|---|
| Materyal Türü: | Livre numérique |
| Dil: | Anglais |
| Baskı/Yayın Bilgisi: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Seri Bilgileri: | Lecture notes in mathematics
1791 |
| Konular: | |
| Online Erişim: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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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 |
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| 100 | 1 | |a Knebusch, Manfred, |d 1939- | |
| 245 | 1 | 0 | |a Manis Valuations and Prüfer Extensions I : |b A New Chapter in Commutative Algebra |c Manfred Knebusch, Digen Zhang. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1791 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 typically meets lots of valuation domains. Usually they are not discrete and hence not noetherian. Thus, for a further develomemt of real algebraic and real analytic geometry in particular, and certainly also rigid analytic and p-adic geometry, new chapters of commutative algebra are needed, often of a non-noetherian nature. The present volume presents one such chapter. | ||
| 650 | |a Anneaux de Prüfer | ||
| 650 | |a Théorie des graphes | ||
| 650 | |a Algèbres commutatives | ||
| 650 | |a Mathématiques | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a Anneaux commutatifs | ||
| 700 | 1 | |a Zhang, Digen. |4 aut | |
| 776 | 0 | |0 07138815X |t Manis valuations and prüfer extensions |h I |i a new chapter in communicative algebra |f Manfred Knebusch, Digen Zhang |d 2002 |c Berlin |n Springer |p 1 vol. (267 p.) |s Lecture notes in mathematics |z 3-540-43951-X | |
| 776 | 0 | |t Manis Valuations and Prüfer Extensions I |b Texte imprimé |z 9783662213476 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/b84018 |z Accès sur la plateforme de l'éditeur | |
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| 997 | |0 943729 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||