Manis Valuations and Prüfer Extensions I

A New Chapter in Commutative Algebra

von Manfred Knebusch, Digen Zhang

274 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540439516
• Sprache: Englisch
• Erscheinungsdatum: 20.08.2002
• Genre: Mathematik/Arithmetik, Algebra
• Verlag: Springer Berlin