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**Algebra** fulfills a definite need to provide a self-contained, one volume, graduate level algebra text that is readable by the average graduate student and flexible enough to accomodate a wide variety of instructors and course contents. The guiding philosophical principle throughout the text is that the material should be presented in the maximum usable generality consistent with good pedagogy. Therefore it is essentially self-contained, stresses clarity rather than brevity and contains an unusually large number of illustrative exercises. The book covers major areas of modern algebra, which is a necessity for most mathematics students in sufficient breadth and depth. Finally a self-contained, one volume, graduate-level algebra text that is readable by the average graduate student and flexible enough to accommodate a wide variety of instructors and course contents. The guiding principle throughout is that the material should be presented as general as possible, consistent with good pedagogy. Therefore it stresses clarity rather than brevity and contains an extraordinarily large number of illustrative exercises. Front Matter....Pages i-xxiii Introduction....Pages 1-22 Groups....Pages 23-69 The Structure of Groups....Pages 70-113 Rings....Pages 114-167 Modules....Pages 168-229 Fields and Galois Theory....Pages 230-310 The Structure of Fields....Pages 311-326 Linear Algebra....Pages 327-370 Commutative Rings and Modules....Pages 371-413 The Structure of Rings....Pages 414-463 Categories....Pages 464-484 Back Matter....Pages 485-504 In Sections 1-6 we summarize for the reader's convenience some basic material with which he is assumed to be thoroughly familiar (with the possible exception of the distinction between sets and proper classes (Section 2), the characterization of the Cartesian product by a universal mapping property (Theorem 5.2) and the Recursion Theorem 6.2). Introduction. Prerequisites and Preliminaries; 1. Groups; 2. The Structure of Groups; 3. Rings; 4. Modules; 5. Fields and Galois Theory; 6. The Structure of Fields; 7. Linear Algebra; 8. Commutative Rings and Modules; 9. The Structure of Rings; 10. Categories; List of Symbols; Bibliography; Index. Thomas W. Hungerford. Includes Index. Bibliography: P. 489-492.