Manis Valuations and Pr¿¿fer Extensions I: A New Chapter in Commutative Algebra: 1791 (Lecture Notes in Mathematics)

by Manfred Knebusch (Author), Manfred Knebusch (Author), Digen Zhang (Author)

• New

  Paperback
  2008

  $53.28

  The present book is devoted to a study of relative Prufer 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.