Manis valuations and Prüfer extensions I : a new chapter in commutative algebra /
The present book is devoted to a study of relative Prfer 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 typ...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[2002]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1791. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | The present book is devoted to a study of relative Prfer 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. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (267 pages) |
| Bibliography: | Includes bibliographical references (pages [257]-262) and indexes. |
| ISBN: | 9783540456254 (electronic bk.) 3540456252 (electronic bk.) |
| ISSN: | 0075-8434 ; |