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 | |
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 |