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- catalog abstract "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.".
- catalog contributor b12601489.
- catalog contributor b12601490.
- catalog created "c2002.".
- catalog date "2002".
- catalog date "c2002.".
- catalog dateCopyrighted "c2002.".
- catalog description "I. A new chapter in commutative algebra.".
- catalog description "Includes bibliographical references (p. [257]-262) and index.".
- catalog description "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.".
- catalog extent "267 p. :".
- catalog hasFormat "Also available in an electronic version.".
- catalog identifier "354043951X (softcover : alk. paper)".
- catalog isFormatOf "Also available in an electronic version.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1791.".
- catalog isPartOf "Lecture notes in mathematics ; 1791".
- catalog issued "2002".
- catalog issued "c2002.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog relation "Also available in an electronic version.".
- catalog subject "510 s 512/.24 21".
- catalog subject "Algebra.".
- catalog subject "Commutative algebra.".
- catalog subject "Geometry, algebraic.".
- catalog subject "Graph labelings.".
- catalog subject "Mathematics.".
- catalog subject "Prüfer rings.".
- catalog subject "QA3 .L28 no. 1791 QA251.3".
- catalog tableOfContents "I. A new chapter in commutative algebra.".
- catalog title "Manis valuations and Prüfer extensions I : a new chapter in commutative algebra / Manfred Knebusch, Digen Zhang.".
- catalog type "Computer network resources. local".
- catalog type "Electronic books. lcsh".
- catalog type "text".