Manis Valuations and Prüfer Extensions I: A New Chapter in Commutative Algebra
Manfred Knebusch, Digen Zhang (auth.)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.
Kategoriler:
Yıl:
2002
Baskı:
1
Yayımcı:
Springer-Verlag Berlin Heidelberg
Dil:
english
Sayfalar:
274
ISBN 10:
354043951X
ISBN 13:
9783540439516
Seriler:
Lecture Notes in Mathematics 1791
Dosya:
PDF, 1.03 MB
IPFS:
,
english, 2002
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