Abstract algebra
David S. Dummit, Richard M. Foote.  3rd ed.
18263198
TABLE DES MATIÈRES

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

6 février 2005