.

0 (hodnocen0 x )

(2) Půjčeno:2x 

BK

Berlin : Springer, 1972

ISBN 3-540-06070-7

000117467

Rekat.

Preface ...V // Symbols Used in Text ...VIII // Introduction ...XI // Chapter I Valuations // §1 Valuations ...1 // §2 Completions and extensions of valuations ...8 // §3 Non-archimedean valuations ...18 // §4 Discrete exponential valuations ...23 // §3 Complete discretely valued fields ...30 // Chapter II Valuation Rings // §6 Valuation rings ...40 // §7 Krull valuations ...43 // §8 Places ...32 // §9 The extension theorem ...39 // §10 Integrally closed domains ...66 // §11 Prüfer rings. Approximation theorems ...72 // §12 Krull rings and Dedekind rings ...82 // Chapter III Exten sion of Valuation Rings // §13 The case of an algebraic field extension ...94 // §14 The case of a normal field extension ...104 // §13 Decomposition group and decomposition field ...109 // §16 Henselian valuation rings ...113 // §17 Extension of valuation rings and henselization ...123 // §18 The equality ... ...136 // §19 Inertia group and inertia field ...144 // §20 Ramification group and ramification field ...134 // §21 Higher ramification groups ...173 // §22 Unramified and tamely ramified extensions ...I78 // Chapter XVI ...1 185 // §23 Introduction and notation ...191 // §24 Topological prelimxnaries ...197 // §25 Solvable (...)-Pre script 1 ...200 // §26 Henselian and antihenselian valuati fields ...206 // §27 Prescription of value groups and residue ...215 // ~ -infinite field extensions ...// §28 The case of miinx e x ...222 // Exercises ...238 // Bibliography ...240 // Index