Abstract algebra
 Author/Creator
 Dummit, David Steven.
 Language
 English.
 Edition
 3rd ed.
 Imprint
 Hoboken, NJ : Wiley, c2004.
 Physical description
 xii, 932 p. : ill. ; 25 cm.
Access
Available online

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QA162 .D85 2004

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QA162 .D85 2004

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QA162 .D85 2004

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QA162 .D85 2004
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Contributors
 Contributor
 Foote, Richard M., 1950
Contents/Summary
 Contents

 Preface.Preliminaries.PART I: GROUP THEORY.Chapter 1. Introduction to Groups.Chapter 2. Subgroups.Chapter 3. Quotient Group and Homomorphisms.Chapter 4. Group Actions.Chapter 5. Direct and Semidirect Products and Abelian Groups.Chapter 6. Further Topics in Group Theory.PART II: RING THEORY.Chapter 7. Introduction to Rings.Chapter 8. Euclidean Domains, Principal Ideal Domains and Unique Factorization Domains.Chapter 9. Polynomial Rings.PART III: MODULES AND VECTOR SPACES.Chapter 10. Introduction to Module Theory.Chapter 11. Vector Spaces.Chapter 12. Modules over Principal Ideal Domains.PART IV: FIELD THEORY AND GALOIS THEORY.Chapter 13. Field Theory.Chapter 14. Galois Theory.PART V: AN INTRODUCTION TO COMMUTATIVE RINGS, ALGEBRAIC GEOMETRY, AND HOMOLOGICAL ALGEBRA.Chapter 15. Commutative Rings and Algebraic Geometry.Chapter 16. Artinian Rings, Discrete Valuation Rings, and Dedekind Domains.Chapter 17. Introduction to Homological Algebra and Group Cohomology.PART VI: INTRODUCTION TO THE REPRESENTATION THEORY OF FINITE GROUPS.Chapter 18. Representation Theory and Character Theory.Chapter 19. Examples and Applications of Character Theory.Appendix I: Cartesian Products and Zorn's Lemma.Appendix II: Category Theory.Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 Widely acclaimed algebra text. This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics. The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some indepth results, using numerous examples and exercises to aid the reader's understanding. In this way, readers gain an appreciation for how mathematical structures and their interplay lead to powerful results and insights in a number of different settings. The emphasis throughout has been to motivate the introduction and development of important algebraic concepts using as many examples as possible.
(source: Nielsen Book Data)  Supplemental links

Publisher description
Table of contents
Subjects
 Subject
 Algebra, Abstract.
Bibliographic information
 Publication date
 2004
 Responsibility
 David S. Dummit, Richard M. Foote.
 Note
 Includes index.
 ISBN
 0471433349
 9780471433347