viii CONTENTS
§25.1. A if-theoretic characterization of orderings 225
§25.2. Cyclic quotients 228
Chapter 26. if-Rings and Valuations 231
§26.1. Valuations and extensions 231
§26.2. The Baer-Krull correspondence 234
§26.3. Totally rigid subgroups 235
§26.4. Sizes of multiplicative subgroups 236
§26.5. Hs and the if-ring 238
§26.6. Bounds in the totally rigid case 240
§26.7. Fans 242
§26.8. Examples of totally rigid subgroups 244
Chapter 27. if-Rings of Wild Valued Fields 247
§27.1. The discrete case 247
§27.2. A vanishing theorem 248
§27.3. The general case 250
Chapter 28. Decompositions of if-Rings 253
§28.1. The basic criterion 253
§28.2. Topological decompositions 256
§28.3. Local pairs 257
§28.4. Arithmetical decompositions 259
Chapter 29. Realization of ^-Structures 263
§29.1. Basic constructions 263
§29.2. if-rings modulo preorderings of finite index 265
§29.3. /^-structures of elementary type 267
Bibliography 269
Glossary of Notation 275
Index 281
Previous Page Next Page