Manis Valuations and Prüfer Extensions I : A New Chapter in Commutative Algebra

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 ty...

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Gorde:
Xehetasun bibliografikoak
Egile Nagusiak: Knebusch, Manfred, 1939-, Zhang, Digen (Egilea)
Formatua: Livre numérique
Hizkuntza:Anglais
Argitaratua: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Saila:Lecture notes in mathematics 1791
Gaiak:
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Edition sous un autre format:• Manis valuations and prüfer extensions, I, a new chapter in communicative algebra, Manfred Knebusch, Digen Zhang, 2002, Berlin, Springer, 1 vol. (267 p.), Lecture notes in mathematics, 3-540-43951-X
• Manis Valuations and Prüfer Extensions I, Texte imprimé, 9783662213476
Deskribapena
Gaia: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.
Alearen deskribapena:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540456254 (PDF)
ISSN:1617-9692
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