Finitely Generated Abelian Groups and Similarity of Matrices over a Field

Authors:

ISBN: 978-1-4471-2729-1 (Print) 978-1-4471-2730-7 (Online)

Table of contents (6 chapters)

  1. Front Matter

    Pages I-XII

  2. Finitely generated abelian groups

    1. Front Matter

      Pages 1-7

    2. No Access

      Chapter

      Pages 9-46

      Matrices with Integer Entries: The Smith Normal Form

    3. No Access

      Chapter

      Pages 47-96

      Basic Theory of Additive Abelian Groups

    4. No Access

      Chapter

      Pages 97-152

      Decomposition of Finitely Generated ℤ-Modules

  3. Similarity of square matrices over a field

    1. Front Matter

      Pages 153-164

    2. No Access

      Chapter

      Pages 165-202

      The Polynomial Ring F[x] and Matrices over F[x]

    3. No Access

      Chapter

      Pages 203-249

      F[x]-Modules: Similarity of t×t Matrices over a Field F

    4. No Access

      Chapter

      Pages 251-338

      Canonical Forms and Similarity Classes of Square Matrices over a Field

  4. Back Matter

    Pages 339-381