Manis Valuations and Prufer Extensions I: A New Chapter in Commutative Algebra - Lecture Notes in Mathematics 1791 (Paperback)
  • Manis Valuations and Prufer Extensions I: A New Chapter in Commutative Algebra - Lecture Notes in Mathematics 1791 (Paperback)
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Manis Valuations and Prufer Extensions I: A New Chapter in Commutative Algebra - Lecture Notes in Mathematics 1791 (Paperback)

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Paperback 274 Pages / Published: 20/08/2002
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The present book is devoted to a study of relative Prufer 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.

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN: 9783540439516
Number of pages: 274
Weight: 890 g
Dimensions: 235 x 155 x 15 mm

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