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Název:		Manis Valuations and Prüfer Extensions I: A New Chapter in Commutative Algebra (Lecture Notes in Mathematics) (Pt. 1)
Autor:
Rok vydání:		2002
Identifikátory:		9783540439516

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Anotace:	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.
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