Lecture Notes in Mathematics: A New Chapter in Commutative Algebra

Knebusch, Manfred; Zhang, Digen

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.

Details

Published by: Springer

Publication Date: 2002-08-20

Format: Paperback

ISBN-13: 9783540439516

DOI: 10.1007/b84018

Dimensions: 235cm x155cm

Pages: 274