| Manis Valuations and Prüfer Extensions I: A New Chapter in Commutative Algebra Contributor(s): Knebusch, Manfred (Author), Zhang, Digen (Author) |
|
 |
ISBN: 354043951X ISBN-13: 9783540439516 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback - Other Formats Published: August 2002 Annotation: The present book is devoted to a study of relative Pr??fer 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Group Theory - Mathematics | Algebra - Abstract - Mathematics | Algebra - General |
| Dewey: 512.44 |
| LCCN: 2002029197 |
| Series: Lecture Notes in Mathematics |
| Physical Information: 0.6" H x 6.14" W x 9.21" (0.88 lbs) 274 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: The present book is devoted to a study of relative Pr fer 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. |