Algebra Abstract

Preface 1 0 - Prerequisites 7 1 - Group Fundamentals 10 2 - Ring Fundamentals 26 3 - Field Fundamentals 52 4 - Module Fundamentals 65 5 - Some Basic Techniques Of Group Theory 85 6 - Galois Theory 105 7 - Introducing Algebraic Number Theory 131 8 - Introducing Algebraic Geometry 156 9 - Introducing Noncommutative Algebra 178 10 - Introducing Homological Algebra 198 Supplement - The Long Exact Homology Sequence 226 Solutions - Chapters 1..5 239 Solutions - Chapters 6..10 261 Bibliography 285 Index 289