ENGLISH

Manis Valuations and Prüfer Extensions I: A New Chapter in Commutative Algebra

By Manfred Knebusch , Digen Zhang (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2002
ISBN
354043951X, 9783540439516
DOI
10.1007/b84018
LCC
QA3 .L28 no. 1791,QA251.3 .L28 no. 1791
Open Library ID
OL22446160M
Language
english
Format
PDF
Filesize
1 MB (1079907 bytes)
Series
Lecture Notes in Mathematics 1791
Edition
1
Pages
274\271
Topic
Mathematics Algebra
Library
Kolxo3
Scanned
no
Time added
2009-07-20 03:45:11
Commutative Rings and Algebras; Algebraic Geometry

Description

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.

Similar books