Graduate Texts in Mathematics; Algebra Revised Third Edition; Copyright; FOREWORD; Logical Prerequisites; CONTENTS; Part One THE BASIC OBJECTS OF ALGEBRA; CHAPTER I Groups; CHAPTER II Rings; CHAPTER III Modules; CHAPTER IV Polynomials; Part Two ALGEBRAIC EQUATIONS; CHAPTER V Algebraic Extensions; CHAPTER VI Galois Theory; CHAPTER VII Extensions of Rings; CHAPTER VIII Transcendental Extensions; CHAPTER IX Algebraic Spaces; CHAPTER X Noetherian Rings and Modules; CHAPTER XI Real Fields; CHAPTER XII Absolute Values; Part Three LINEAR ALGEBRA and REPRESENTATIONS.