A new chapter in commutative algebra
Author(s)
Bibliographic Information
A new chapter in commutative algebra
（Lecture notes in mathematics, 1791 . Manis valuations and prüfer extensions ; 1）
Springer, c2002
Available at / 73 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||179178800483
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INTERNATIONAL CHRISTIAN UNIVERSITY LIBRARY図
V.1791410.8/L507/v.179105797907,
410.8/L507/v.179105797907 -
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
1DC21:512.24/K7312070566962
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Note
Bibliography: p. [257]-262
Includes indexes
Description and Table of Contents
Description
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.
Table of Contents
Introduction.- Basics on Manis valuations and Prufer extensions.- Multiplicative ideal theory.- PM-valuations and valuations of weaker type.- Appendix A: Flat epimorphisms.- Appendix B: Arithmetical rings.- Appendix C: A direct proof of the existence of Manis valuation hulls.- References.- Index.
by "Nielsen BookData"
