EXTENSIONS OF RINGS

Chapters

• ORDERS AND ALGEBRAIC FIELDS

• BINARY QUADRATIC FORMS

• QUADRATIC FIELDS

• CYCLOTOMIC FIELDS

• CLASS FIELD THEORY

• ALGEBRAICALLY CLOSED FIELDS

• RATIONAL FUNCTION FIELDS

• ALGEBRAIC FUNCTION FIELDS

• MODULES OVER DEDEKIND DOMAINS

• VALUATION RINGS

• NEWTON POLYGONS

• p-ADIC RINGS AND THEIR EXTENSIONS

• GALOIS RINGS

• POWER, LAURENT AND PUISEUX SERIES

• LAZY POWER SERIES RINGS