Manis Valuations and Prüfer Extensions I
Manis Valuations and Prüfer Extensions I: A New Chapter in Commutative Algebra by Manfred Knebusch, Digen Zhang
English | 2002 | ISBN: 354043951X | 274 Pages | PDF | 2.0 MB
English | 2002 | ISBN: 354043951X | 274 Pages | PDF | 2.0 MB
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.