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.
| Autorius: | Digen Zhang, Manfred Knebusch, |
| Serija: | Lecture Notes in Mathematics |
| Leidėjas: | Springer Berlin Heidelberg |
| Išleidimo metai: | 2002 |
| Knygos puslapių skaičius: | 280 |
| ISBN-10: | 354043951X |
| ISBN-13: | 9783540439516 |
| Formatas: | Knyga minkštu viršeliu |
| Kalba: | Anglų |
| Žanras: | Algebraic geometry |
Parašykite atsiliepimą apie „Manis Valuations and Prüfer Extensions I: A New Chapter in Commutative Algebra“
