Book Volume 211 2002

Algebra

Authors:

ISBN: 978-1-4612-6551-1 (Print) 978-1-4613-0041-0 (Online)

Table of contents (21 chapters)

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  1. Front Matter

    Pages i-xv

  2. The Basic Objects of Algebra

    1. Front Matter

      Pages 1-1

    2. No Access

      Chapter

      Pages 3-82

      Groups

    3. No Access

      Chapter

      Pages 83-116

      Rings

    4. No Access

      Chapter

      Pages 117-172

      Modules

    5. No Access

      Chapter

      Pages 173-220

      Polynomials

  3. Algebraic Equations

    1. Front Matter

      Pages 221-222

    2. No Access

      Chapter

      Pages 223-259

      Algebraic Extensions

    3. No Access

      Chapter

      Pages 261-332

      Galois Theory

    4. No Access

      Chapter

      Pages 333-354

      Extensions of Rings

    5. No Access

      Chapter

      Pages 355-375

      Transcendental Extensions

    6. No Access

      Chapter

      Pages 377-412

      Algebraic Spaces

    7. No Access

      Chapter

      Pages 413-447

      Noetherian Rings and Modules

    8. No Access

      Chapter

      Pages 449-463

      Real Fields

    9. No Access

      Chapter

      Pages 465-499

      Absolute Values

  4. Linear Algebra and Representations

    1. Front Matter

      Pages 501-501

    2. No Access

      Chapter

      Pages 503-552

      Matrices and Linear Maps

    3. No Access

      Chapter

      Pages 553-570

      Representation of One Endomorphism

    4. No Access

      Chapter

      Pages 571-600

      Structure of Bilinear Forms

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      Chapter

      Pages 601-640

      The Tensor Product

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      Chapter

      Pages 641-662

      Semisimplicity

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      Chapter

      Pages 663-729

      Representations of Finite Groups

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      Chapter

      Pages 731-758

      The Alternating Product

  5. Homological Algebra

    1. Front Matter

      Pages 759-760

    2. No Access

      Chapter

      Pages 761-834

      General Homology Theory

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