TY - BOOK AU - Dummit,David Steven AU - Foote,Richard M. TI - Abstract algebra SN - 0471433349 (acidfree paper) AV - QA162 .D85 PY - 2004/// CY - Hoboken, NJ PB - Wiley KW - Algebra, Abstract N1 - Includes index; Part. 1. Group Theory: Chapter 1. Introduction to groups -- Chapter 2. Subgroups -- Chapter 3. Quotient groups and homomorphisms -- Chapter 4. Group actions -- Chapter 5. Direct and semidirect products and abelian groups -- Chapter 6. Further topics in group theory -- Part 2. Ring theory: Chapter 7. Introduction to rings -- Chapter 8. Euclidean domains, principal ideal domains and unique factorization domains -- Chapter 9. Polynomial rings -- Part 3. Modules and vector spaces: Chapter 10. Introduction to module theory -- Chapter 11. Vector spaces -- Chapter 12. Modules over principal ideal domains -- Part. 4. Field theory and Galois theory: Chapter 13. Field theory -- Chapter 14. Galois theory -- Part 5. 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 6. Introduction to the representation theory of finite groups: Chapter 18. Representation theory and character theory -- Chapter 19. Examples and applications of character theory ER -