| 书目名称 | Manis Valuations and Prüfer Extensions I |
| 副标题 | A New Chapter in Com |
| 编辑 | Manfred Knebusch,Digen Zhang |
| 视频video | http://file.papertrans.cn/624/623428/623428.mp4 |
| 概述 | Includes supplementary material: |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | 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. |
| 出版日期 | Book 2002 |
| 关键词 | Bezout ring; Manis valuation; Prüfer ring; Volume; holormorphy ring; multiplicative ideal theory |
| 版次 | 1 |
| doi | https://doi.org/10.1007/b84018 |
| isbn_softcover | 978-3-540-43951-6 |
| isbn_ebook | 978-3-540-45625-4Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2002 |