Manis Valuations and Prüfer Extens - E-book

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Manis Valuations And Prüfer Extensions I - ENG

A New Chapter In Commutative Algebra

Manfred Knebusch; Digen Zhang

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Sinopsis

ISBN:	9783540456254
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Álgebra abstracta
Año de publicación:	2004-10-19

The present book is devoted to a study of relative PrÃ¼fer 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.

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