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Abstract algebra / David S. Dummit, Richard M. Foote.

By: Contributor(s): Material type: TextPublication details: Hoboken, NJ : Wiley, c2004.Edition: 3rd edDescription: xii, 932 p. : ill. ; 24 cmISBN:
  • 0471433349 (acidfree paper)
Subject(s): LOC classification:
  • QA162 .D85
Contents:
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.
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Cover image Item type Current library Home library Collection Shelving location Call number Materials specified Vol info URL Copy number Status Notes Date due Barcode Item holds Item hold queue priority Course reserves
Books Methodist University Library Main General Stacks Reference QA162 .D85 (Browse shelf(Opens below)) Available 16784

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.

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